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Finding the Third Proportional to 27,411 and 59,523

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Solution

The third proportional to 27,411 and 59,523 is: 129,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411 : 59,523 = 59,523 : x
  2. Step 2: Convert to fraction form
    27,411/59,523 = 59,523/x
  3. Step 3: Cross multiply
    27,411x = 59,523 × 59,523
  4. Step 4: Simplify right side
    27,411x = 3,542,987,529
  5. Step 5: Solve for x
    x = 3,542,987,529/27,411
  6. Step 6: Final answer
    x = 129,254.22

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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.