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Finding the Third Proportional to 27,744 and 62,760

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Solution

The third proportional to 27,744 and 62,760 is: 141,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 62,760 = 62,760 : x
  2. Step 2: Convert to fraction form
    27,744/62,760 = 62,760/x
  3. Step 3: Cross multiply
    27,744x = 62,760 × 62,760
  4. Step 4: Simplify right side
    27,744x = 3,938,817,600
  5. Step 5: Solve for x
    x = 3,938,817,600/27,744
  6. Step 6: Final answer
    x = 141,970.07

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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.