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Finding the Third Proportional to 27,399.38 and 59,031

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Solution

The third proportional to 27,399.38 and 59,031 is: 127,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,399.38 : 59,031 = 59,031 : x
  2. Step 2: Convert to fraction form
    27,399.38/59,031 = 59,031/x
  3. Step 3: Cross multiply
    27,399.38x = 59,031 × 59,031
  4. Step 4: Simplify right side
    27,399.38x = 3,484,658,961
  5. Step 5: Solve for x
    x = 3,484,658,961/27,399.38
  6. Step 6: Final answer
    x = 127,180.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.