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Finding the Third Proportional to 13,840 and 24,112

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Solution

The third proportional to 13,840 and 24,112 is: 42,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840 : 24,112 = 24,112 : x
  2. Step 2: Convert to fraction form
    13,840/24,112 = 24,112/x
  3. Step 3: Cross multiply
    13,840x = 24,112 × 24,112
  4. Step 4: Simplify right side
    13,840x = 581,388,544
  5. Step 5: Solve for x
    x = 581,388,544/13,840
  6. Step 6: Final answer
    x = 42,007.84

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.