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Finding the Third Proportional to 16,892 and 40,643

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Solution

The third proportional to 16,892 and 40,643 is: 97,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,892 : 40,643 = 40,643 : x
  2. Step 2: Convert to fraction form
    16,892/40,643 = 40,643/x
  3. Step 3: Cross multiply
    16,892x = 40,643 × 40,643
  4. Step 4: Simplify right side
    16,892x = 1,651,853,449
  5. Step 5: Solve for x
    x = 1,651,853,449/16,892
  6. Step 6: Final answer
    x = 97,789.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.