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Finding the Third Proportional to 27,853 and 42,015

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Solution

The third proportional to 27,853 and 42,015 is: 63,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853 : 42,015 = 42,015 : x
  2. Step 2: Convert to fraction form
    27,853/42,015 = 42,015/x
  3. Step 3: Cross multiply
    27,853x = 42,015 × 42,015
  4. Step 4: Simplify right side
    27,853x = 1,765,260,225
  5. Step 5: Solve for x
    x = 1,765,260,225/27,853
  6. Step 6: Final answer
    x = 63,377.74

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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.