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Finding the Third Proportional to 13,304.81 and 29,161.13

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Solution

The third proportional to 13,304.81 and 29,161.13 is: 63,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,304.81 : 29,161.13 = 29,161.13 : x
  2. Step 2: Convert to fraction form
    13,304.81/29,161.13 = 29,161.13/x
  3. Step 3: Cross multiply
    13,304.81x = 29,161.13 × 29,161.13
  4. Step 4: Simplify right side
    13,304.81x = 850,371,211.27
  5. Step 5: Solve for x
    x = 850,371,211.27/13,304.81
  6. Step 6: Final answer
    x = 63,914.56

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Why These Related Problems?

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