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Finding the Third Proportional to 12,396 and 24,169

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Solution

The third proportional to 12,396 and 24,169 is: 47,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396 : 24,169 = 24,169 : x
  2. Step 2: Convert to fraction form
    12,396/24,169 = 24,169/x
  3. Step 3: Cross multiply
    12,396x = 24,169 × 24,169
  4. Step 4: Simplify right side
    12,396x = 584,140,561
  5. Step 5: Solve for x
    x = 584,140,561/12,396
  6. Step 6: Final answer
    x = 47,123.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.