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Finding the Third Proportional to 13,617.49 and 29,385.91

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Solution

The third proportional to 13,617.49 and 29,385.91 is: 63,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.49 : 29,385.91 = 29,385.91 : x
  2. Step 2: Convert to fraction form
    13,617.49/29,385.91 = 29,385.91/x
  3. Step 3: Cross multiply
    13,617.49x = 29,385.91 × 29,385.91
  4. Step 4: Simplify right side
    13,617.49x = 863,531,945.29
  5. Step 5: Solve for x
    x = 863,531,945.29/13,617.49
  6. Step 6: Final answer
    x = 63,413.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.