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Finding the Third Proportional to 23,769 and 61,659

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Solution

The third proportional to 23,769 and 61,659 is: 159,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 61,659 = 61,659 : x
  2. Step 2: Convert to fraction form
    23,769/61,659 = 61,659/x
  3. Step 3: Cross multiply
    23,769x = 61,659 × 61,659
  4. Step 4: Simplify right side
    23,769x = 3,801,832,281
  5. Step 5: Solve for x
    x = 3,801,832,281/23,769
  6. Step 6: Final answer
    x = 159,949.19

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.