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Finding the Third Proportional to 25,432 and 36,689

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Solution

The third proportional to 25,432 and 36,689 is: 52,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,432 : 36,689 = 36,689 : x
  2. Step 2: Convert to fraction form
    25,432/36,689 = 36,689/x
  3. Step 3: Cross multiply
    25,432x = 36,689 × 36,689
  4. Step 4: Simplify right side
    25,432x = 1,346,082,721
  5. Step 5: Solve for x
    x = 1,346,082,721/25,432
  6. Step 6: Final answer
    x = 52,928.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.