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Finding the Third Proportional to 27,512 and 38,280

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Solution

The third proportional to 27,512 and 38,280 is: 53,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512 : 38,280 = 38,280 : x
  2. Step 2: Convert to fraction form
    27,512/38,280 = 38,280/x
  3. Step 3: Cross multiply
    27,512x = 38,280 × 38,280
  4. Step 4: Simplify right side
    27,512x = 1,465,358,400
  5. Step 5: Solve for x
    x = 1,465,358,400/27,512
  6. Step 6: Final answer
    x = 53,262.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.