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Finding the Third Proportional to 27,543 and 59,379

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Solution

The third proportional to 27,543 and 59,379 is: 128,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543 : 59,379 = 59,379 : x
  2. Step 2: Convert to fraction form
    27,543/59,379 = 59,379/x
  3. Step 3: Cross multiply
    27,543x = 59,379 × 59,379
  4. Step 4: Simplify right side
    27,543x = 3,525,865,641
  5. Step 5: Solve for x
    x = 3,525,865,641/27,543
  6. Step 6: Final answer
    x = 128,013.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.