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Finding the Third Proportional to 13,416.89 and 29,141.02

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Solution

The third proportional to 13,416.89 and 29,141.02 is: 63,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.89 : 29,141.02 = 29,141.02 : x
  2. Step 2: Convert to fraction form
    13,416.89/29,141.02 = 29,141.02/x
  3. Step 3: Cross multiply
    13,416.89x = 29,141.02 × 29,141.02
  4. Step 4: Simplify right side
    13,416.89x = 849,198,791.66
  5. Step 5: Solve for x
    x = 849,198,791.66/13,416.89
  6. Step 6: Final answer
    x = 63,293.26

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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.