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Finding the Third Proportional to 25,542.84 and 52,906.92

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Solution

The third proportional to 25,542.84 and 52,906.92 is: 109,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.84 : 52,906.92 = 52,906.92 : x
  2. Step 2: Convert to fraction form
    25,542.84/52,906.92 = 52,906.92/x
  3. Step 3: Cross multiply
    25,542.84x = 52,906.92 × 52,906.92
  4. Step 4: Simplify right side
    25,542.84x = 2,799,142,382.29
  5. Step 5: Solve for x
    x = 2,799,142,382.29/25,542.84
  6. Step 6: Final answer
    x = 109,586.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.