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Finding the Third Proportional to 13,306.78 and 29,104.31

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Solution

The third proportional to 13,306.78 and 29,104.31 is: 63,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306.78 : 29,104.31 = 29,104.31 : x
  2. Step 2: Convert to fraction form
    13,306.78/29,104.31 = 29,104.31/x
  3. Step 3: Cross multiply
    13,306.78x = 29,104.31 × 29,104.31
  4. Step 4: Simplify right side
    13,306.78x = 847,061,006.10
  5. Step 5: Solve for x
    x = 847,061,006.10/13,306.78
  6. Step 6: Final answer
    x = 63,656.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.