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Finding the Third Proportional to 36,281.91 and 54,970.22

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Solution

The third proportional to 36,281.91 and 54,970.22 is: 83,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,281.91 : 54,970.22 = 54,970.22 : x
  2. Step 2: Convert to fraction form
    36,281.91/54,970.22 = 54,970.22/x
  3. Step 3: Cross multiply
    36,281.91x = 54,970.22 × 54,970.22
  4. Step 4: Simplify right side
    36,281.91x = 3,021,724,949.42
  5. Step 5: Solve for x
    x = 3,021,724,949.42/36,281.91
  6. Step 6: Final answer
    x = 83,284.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.