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Finding the Third Proportional to 27,633 and 59,586

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Solution

The third proportional to 27,633 and 59,586 is: 128,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633 : 59,586 = 59,586 : x
  2. Step 2: Convert to fraction form
    27,633/59,586 = 59,586/x
  3. Step 3: Cross multiply
    27,633x = 59,586 × 59,586
  4. Step 4: Simplify right side
    27,633x = 3,550,491,396
  5. Step 5: Solve for x
    x = 3,550,491,396/27,633
  6. Step 6: Final answer
    x = 128,487.37

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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.