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Finding the Third Proportional to 25,489.50 and 52,771

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Solution

The third proportional to 25,489.50 and 52,771 is: 109,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489.50 : 52,771 = 52,771 : x
  2. Step 2: Convert to fraction form
    25,489.50/52,771 = 52,771/x
  3. Step 3: Cross multiply
    25,489.50x = 52,771 × 52,771
  4. Step 4: Simplify right side
    25,489.50x = 2,784,778,441
  5. Step 5: Solve for x
    x = 2,784,778,441/25,489.50
  6. Step 6: Final answer
    x = 109,251.98

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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.