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Finding the Third Proportional to 13,539.66 and 29,752.31

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Solution

The third proportional to 13,539.66 and 29,752.31 is: 65,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.66 : 29,752.31 = 29,752.31 : x
  2. Step 2: Convert to fraction form
    13,539.66/29,752.31 = 29,752.31/x
  3. Step 3: Cross multiply
    13,539.66x = 29,752.31 × 29,752.31
  4. Step 4: Simplify right side
    13,539.66x = 885,200,099.10
  5. Step 5: Solve for x
    x = 885,200,099.10/13,539.66
  6. Step 6: Final answer
    x = 65,378.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.