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Finding the Third Proportional to 27,410 and 59,521

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Solution

The third proportional to 27,410 and 59,521 is: 129,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410 : 59,521 = 59,521 : x
  2. Step 2: Convert to fraction form
    27,410/59,521 = 59,521/x
  3. Step 3: Cross multiply
    27,410x = 59,521 × 59,521
  4. Step 4: Simplify right side
    27,410x = 3,542,749,441
  5. Step 5: Solve for x
    x = 3,542,749,441/27,410
  6. Step 6: Final answer
    x = 129,250.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.