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Finding the Third Proportional to 10,972 and 16,548

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Solution

The third proportional to 10,972 and 16,548 is: 24,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972 : 16,548 = 16,548 : x
  2. Step 2: Convert to fraction form
    10,972/16,548 = 16,548/x
  3. Step 3: Cross multiply
    10,972x = 16,548 × 16,548
  4. Step 4: Simplify right side
    10,972x = 273,836,304
  5. Step 5: Solve for x
    x = 273,836,304/10,972
  6. Step 6: Final answer
    x = 24,957.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.