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Finding the Third Proportional to 12,301.88 and 29,752.31

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Solution

The third proportional to 12,301.88 and 29,752.31 is: 71,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.88 : 29,752.31 = 29,752.31 : x
  2. Step 2: Convert to fraction form
    12,301.88/29,752.31 = 29,752.31/x
  3. Step 3: Cross multiply
    12,301.88x = 29,752.31 × 29,752.31
  4. Step 4: Simplify right side
    12,301.88x = 885,200,099.10
  5. Step 5: Solve for x
    x = 885,200,099.10/12,301.88
  6. Step 6: Final answer
    x = 71,956.52

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.