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Finding the Third Proportional to 25,727 and 52,169

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Solution

The third proportional to 25,727 and 52,169 is: 105,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,727 : 52,169 = 52,169 : x
  2. Step 2: Convert to fraction form
    25,727/52,169 = 52,169/x
  3. Step 3: Cross multiply
    25,727x = 52,169 × 52,169
  4. Step 4: Simplify right side
    25,727x = 2,721,604,561
  5. Step 5: Solve for x
    x = 2,721,604,561/25,727
  6. Step 6: Final answer
    x = 105,787.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.