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Finding the Third Proportional to 13,411.50 and 29,062.88

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Solution

The third proportional to 13,411.50 and 29,062.88 is: 62,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.50 : 29,062.88 = 29,062.88 : x
  2. Step 2: Convert to fraction form
    13,411.50/29,062.88 = 29,062.88/x
  3. Step 3: Cross multiply
    13,411.50x = 29,062.88 × 29,062.88
  4. Step 4: Simplify right side
    13,411.50x = 844,650,703.27
  5. Step 5: Solve for x
    x = 844,650,703.27/13,411.50
  6. Step 6: Final answer
    x = 62,979.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.