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Finding the Third Proportional to 6,554 and 12,151

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Solution

The third proportional to 6,554 and 12,151 is: 22,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554 : 12,151 = 12,151 : x
  2. Step 2: Convert to fraction form
    6,554/12,151 = 12,151/x
  3. Step 3: Cross multiply
    6,554x = 12,151 × 12,151
  4. Step 4: Simplify right side
    6,554x = 147,646,801
  5. Step 5: Solve for x
    x = 147,646,801/6,554
  6. Step 6: Final answer
    x = 22,527.74

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.