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Finding the Third Proportional to 27,291 and 59,388

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Solution

The third proportional to 27,291 and 59,388 is: 129,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,291 : 59,388 = 59,388 : x
  2. Step 2: Convert to fraction form
    27,291/59,388 = 59,388/x
  3. Step 3: Cross multiply
    27,291x = 59,388 × 59,388
  4. Step 4: Simplify right side
    27,291x = 3,526,934,544
  5. Step 5: Solve for x
    x = 3,526,934,544/27,291
  6. Step 6: Final answer
    x = 129,234.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.