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Finding the Third Proportional to 27,432 and 42,288

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Solution

The third proportional to 27,432 and 42,288 is: 65,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432 : 42,288 = 42,288 : x
  2. Step 2: Convert to fraction form
    27,432/42,288 = 42,288/x
  3. Step 3: Cross multiply
    27,432x = 42,288 × 42,288
  4. Step 4: Simplify right side
    27,432x = 1,788,274,944
  5. Step 5: Solve for x
    x = 1,788,274,944/27,432
  6. Step 6: Final answer
    x = 65,189.38

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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.