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Finding the Third Proportional to 16,632.75 and 24,463

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Solution

The third proportional to 16,632.75 and 24,463 is: 35,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,632.75 : 24,463 = 24,463 : x
  2. Step 2: Convert to fraction form
    16,632.75/24,463 = 24,463/x
  3. Step 3: Cross multiply
    16,632.75x = 24,463 × 24,463
  4. Step 4: Simplify right side
    16,632.75x = 598,438,369
  5. Step 5: Solve for x
    x = 598,438,369/16,632.75
  6. Step 6: Final answer
    x = 35,979.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.