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Finding the Third Proportional to 27,697 and 59,329

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Solution

The third proportional to 27,697 and 59,329 is: 127,087.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697 : 59,329 = 59,329 : x
  2. Step 2: Convert to fraction form
    27,697/59,329 = 59,329/x
  3. Step 3: Cross multiply
    27,697x = 59,329 × 59,329
  4. Step 4: Simplify right side
    27,697x = 3,519,930,241
  5. Step 5: Solve for x
    x = 3,519,930,241/27,697
  6. Step 6: Final answer
    x = 127,087.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.