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Finding the Third Proportional to 16,732 and 22,713

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Solution

The third proportional to 16,732 and 22,713 is: 30,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732 : 22,713 = 22,713 : x
  2. Step 2: Convert to fraction form
    16,732/22,713 = 22,713/x
  3. Step 3: Cross multiply
    16,732x = 22,713 × 22,713
  4. Step 4: Simplify right side
    16,732x = 515,880,369
  5. Step 5: Solve for x
    x = 515,880,369/16,732
  6. Step 6: Final answer
    x = 30,831.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.