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Finding the Third Proportional to 24,677 and 38,169

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Solution

The third proportional to 24,677 and 38,169 is: 59,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677 : 38,169 = 38,169 : x
  2. Step 2: Convert to fraction form
    24,677/38,169 = 38,169/x
  3. Step 3: Cross multiply
    24,677x = 38,169 × 38,169
  4. Step 4: Simplify right side
    24,677x = 1,456,872,561
  5. Step 5: Solve for x
    x = 1,456,872,561/24,677
  6. Step 6: Final answer
    x = 59,037.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.