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Finding the Third Proportional to 16,597 and 34,733

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Solution

The third proportional to 16,597 and 34,733 is: 72,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597 : 34,733 = 34,733 : x
  2. Step 2: Convert to fraction form
    16,597/34,733 = 34,733/x
  3. Step 3: Cross multiply
    16,597x = 34,733 × 34,733
  4. Step 4: Simplify right side
    16,597x = 1,206,381,289
  5. Step 5: Solve for x
    x = 1,206,381,289/16,597
  6. Step 6: Final answer
    x = 72,686.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.