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Finding the Third Proportional to 27,486 and 42,351

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Solution

The third proportional to 27,486 and 42,351 is: 65,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,486 : 42,351 = 42,351 : x
  2. Step 2: Convert to fraction form
    27,486/42,351 = 42,351/x
  3. Step 3: Cross multiply
    27,486x = 42,351 × 42,351
  4. Step 4: Simplify right side
    27,486x = 1,793,607,201
  5. Step 5: Solve for x
    x = 1,793,607,201/27,486
  6. Step 6: Final answer
    x = 65,255.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.