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Finding the Third Proportional to 39,288 and 72,831

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Solution

The third proportional to 39,288 and 72,831 is: 135,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,288 : 72,831 = 72,831 : x
  2. Step 2: Convert to fraction form
    39,288/72,831 = 72,831/x
  3. Step 3: Cross multiply
    39,288x = 72,831 × 72,831
  4. Step 4: Simplify right side
    39,288x = 5,304,354,561
  5. Step 5: Solve for x
    x = 5,304,354,561/39,288
  6. Step 6: Final answer
    x = 135,012.08

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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.