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Finding the Third Proportional to 24,677 and 59,669

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Solution

The third proportional to 24,677 and 59,669 is: 144,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677 : 59,669 = 59,669 : x
  2. Step 2: Convert to fraction form
    24,677/59,669 = 59,669/x
  3. Step 3: Cross multiply
    24,677x = 59,669 × 59,669
  4. Step 4: Simplify right side
    24,677x = 3,560,389,561
  5. Step 5: Solve for x
    x = 3,560,389,561/24,677
  6. Step 6: Final answer
    x = 144,279.68

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.