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Finding the Third Proportional to 27,648 and 62,586

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Solution

The third proportional to 27,648 and 62,586 is: 141,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648 : 62,586 = 62,586 : x
  2. Step 2: Convert to fraction form
    27,648/62,586 = 62,586/x
  3. Step 3: Cross multiply
    27,648x = 62,586 × 62,586
  4. Step 4: Simplify right side
    27,648x = 3,917,007,396
  5. Step 5: Solve for x
    x = 3,917,007,396/27,648
  6. Step 6: Final answer
    x = 141,674.17

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.