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Finding the Third Proportional to 25,497 and 36,729

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Solution

The third proportional to 25,497 and 36,729 is: 52,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497 : 36,729 = 36,729 : x
  2. Step 2: Convert to fraction form
    25,497/36,729 = 36,729/x
  3. Step 3: Cross multiply
    25,497x = 36,729 × 36,729
  4. Step 4: Simplify right side
    25,497x = 1,349,019,441
  5. Step 5: Solve for x
    x = 1,349,019,441/25,497
  6. Step 6: Final answer
    x = 52,908.95

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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.