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Finding the Third Proportional to 48,414 and 72,597

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Solution

The third proportional to 48,414 and 72,597 is: 108,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,414 : 72,597 = 72,597 : x
  2. Step 2: Convert to fraction form
    48,414/72,597 = 72,597/x
  3. Step 3: Cross multiply
    48,414x = 72,597 × 72,597
  4. Step 4: Simplify right side
    48,414x = 5,270,324,409
  5. Step 5: Solve for x
    x = 5,270,324,409/48,414
  6. Step 6: Final answer
    x = 108,859.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.