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Finding the Third Proportional to 27,243 and 59,385

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Solution

The third proportional to 27,243 and 59,385 is: 129,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243 : 59,385 = 59,385 : x
  2. Step 2: Convert to fraction form
    27,243/59,385 = 59,385/x
  3. Step 3: Cross multiply
    27,243x = 59,385 × 59,385
  4. Step 4: Simplify right side
    27,243x = 3,526,578,225
  5. Step 5: Solve for x
    x = 3,526,578,225/27,243
  6. Step 6: Final answer
    x = 129,448.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.