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Finding the Third Proportional to 27,873 and 59,525

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Solution

The third proportional to 27,873 and 59,525 is: 127,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873 : 59,525 = 59,525 : x
  2. Step 2: Convert to fraction form
    27,873/59,525 = 59,525/x
  3. Step 3: Cross multiply
    27,873x = 59,525 × 59,525
  4. Step 4: Simplify right side
    27,873x = 3,543,225,625
  5. Step 5: Solve for x
    x = 3,543,225,625/27,873
  6. Step 6: Final answer
    x = 127,120.35

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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.