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Finding the Third Proportional to 23,229 and 31,210.50

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Solution

The third proportional to 23,229 and 31,210.50 is: 41,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229 : 31,210.50 = 31,210.50 : x
  2. Step 2: Convert to fraction form
    23,229/31,210.50 = 31,210.50/x
  3. Step 3: Cross multiply
    23,229x = 31,210.50 × 31,210.50
  4. Step 4: Simplify right side
    23,229x = 974,095,310.25
  5. Step 5: Solve for x
    x = 974,095,310.25/23,229
  6. Step 6: Final answer
    x = 41,934.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.