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Finding the Third Proportional to 29,089.13 and 40,515.19

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Solution

The third proportional to 29,089.13 and 40,515.19 is: 56,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,089.13 : 40,515.19 = 40,515.19 : x
  2. Step 2: Convert to fraction form
    29,089.13/40,515.19 = 40,515.19/x
  3. Step 3: Cross multiply
    29,089.13x = 40,515.19 × 40,515.19
  4. Step 4: Simplify right side
    29,089.13x = 1,641,480,418.16
  5. Step 5: Solve for x
    x = 1,641,480,418.16/29,089.13
  6. Step 6: Final answer
    x = 56,429.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.