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Finding the Third Proportional to 26,597 and 39,031

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Solution

The third proportional to 26,597 and 39,031 is: 57,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597 : 39,031 = 39,031 : x
  2. Step 2: Convert to fraction form
    26,597/39,031 = 39,031/x
  3. Step 3: Cross multiply
    26,597x = 39,031 × 39,031
  4. Step 4: Simplify right side
    26,597x = 1,523,418,961
  5. Step 5: Solve for x
    x = 1,523,418,961/26,597
  6. Step 6: Final answer
    x = 57,277.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.