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Finding the Third Proportional to 16,742 and 45,545

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Solution

The third proportional to 16,742 and 45,545 is: 123,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742 : 45,545 = 45,545 : x
  2. Step 2: Convert to fraction form
    16,742/45,545 = 45,545/x
  3. Step 3: Cross multiply
    16,742x = 45,545 × 45,545
  4. Step 4: Simplify right side
    16,742x = 2,074,347,025
  5. Step 5: Solve for x
    x = 2,074,347,025/16,742
  6. Step 6: Final answer
    x = 123,900.79

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.