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Finding the Third Proportional to 23,214.09 and 36,210.80

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Solution

The third proportional to 23,214.09 and 36,210.80 is: 56,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214.09 : 36,210.80 = 36,210.80 : x
  2. Step 2: Convert to fraction form
    23,214.09/36,210.80 = 36,210.80/x
  3. Step 3: Cross multiply
    23,214.09x = 36,210.80 × 36,210.80
  4. Step 4: Simplify right side
    23,214.09x = 1,311,221,810.32
  5. Step 5: Solve for x
    x = 1,311,221,810.32/23,214.09
  6. Step 6: Final answer
    x = 56,483.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.