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Finding the Third Proportional to 27,234 and 42,797

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Solution

The third proportional to 27,234 and 42,797 is: 67,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234 : 42,797 = 42,797 : x
  2. Step 2: Convert to fraction form
    27,234/42,797 = 42,797/x
  3. Step 3: Cross multiply
    27,234x = 42,797 × 42,797
  4. Step 4: Simplify right side
    27,234x = 1,831,583,209
  5. Step 5: Solve for x
    x = 1,831,583,209/27,234
  6. Step 6: Final answer
    x = 67,253.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.