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Finding the Third Proportional to 22,686.75 and 34,678.13

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Solution

The third proportional to 22,686.75 and 34,678.13 is: 53,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.75 : 34,678.13 = 34,678.13 : x
  2. Step 2: Convert to fraction form
    22,686.75/34,678.13 = 34,678.13/x
  3. Step 3: Cross multiply
    22,686.75x = 34,678.13 × 34,678.13
  4. Step 4: Simplify right side
    22,686.75x = 1,202,572,353.52
  5. Step 5: Solve for x
    x = 1,202,572,353.52/22,686.75
  6. Step 6: Final answer
    x = 53,007.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.