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Finding the Third Proportional to 27,706.13 and 58,872.38

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Solution

The third proportional to 27,706.13 and 58,872.38 is: 125,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.13 : 58,872.38 = 58,872.38 : x
  2. Step 2: Convert to fraction form
    27,706.13/58,872.38 = 58,872.38/x
  3. Step 3: Cross multiply
    27,706.13x = 58,872.38 × 58,872.38
  4. Step 4: Simplify right side
    27,706.13x = 3,465,956,538.14
  5. Step 5: Solve for x
    x = 3,465,956,538.14/27,706.13
  6. Step 6: Final answer
    x = 125,097.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.