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Finding the Third Proportional to 27,357 and 59,241

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Solution

The third proportional to 27,357 and 59,241 is: 128,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,357 : 59,241 = 59,241 : x
  2. Step 2: Convert to fraction form
    27,357/59,241 = 59,241/x
  3. Step 3: Cross multiply
    27,357x = 59,241 × 59,241
  4. Step 4: Simplify right side
    27,357x = 3,509,496,081
  5. Step 5: Solve for x
    x = 3,509,496,081/27,357
  6. Step 6: Final answer
    x = 128,285.12

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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.