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Finding the Third Proportional to 5,654.81 and 12,061.13

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Solution

The third proportional to 5,654.81 and 12,061.13 is: 25,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.81 : 12,061.13 = 12,061.13 : x
  2. Step 2: Convert to fraction form
    5,654.81/12,061.13 = 12,061.13/x
  3. Step 3: Cross multiply
    5,654.81x = 12,061.13 × 12,061.13
  4. Step 4: Simplify right side
    5,654.81x = 145,470,736.27
  5. Step 5: Solve for x
    x = 145,470,736.27/5,654.81
  6. Step 6: Final answer
    x = 25,725.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.