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Finding the Third Proportional to 15,740 and 24,116

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Solution

The third proportional to 15,740 and 24,116 is: 36,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740 : 24,116 = 24,116 : x
  2. Step 2: Convert to fraction form
    15,740/24,116 = 24,116/x
  3. Step 3: Cross multiply
    15,740x = 24,116 × 24,116
  4. Step 4: Simplify right side
    15,740x = 581,581,456
  5. Step 5: Solve for x
    x = 581,581,456/15,740
  6. Step 6: Final answer
    x = 36,949.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.