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Finding the Third Proportional to 24,546.75 and 38,399.63

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Solution

The third proportional to 24,546.75 and 38,399.63 is: 60,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.75 : 38,399.63 = 38,399.63 : x
  2. Step 2: Convert to fraction form
    24,546.75/38,399.63 = 38,399.63/x
  3. Step 3: Cross multiply
    24,546.75x = 38,399.63 × 38,399.63
  4. Step 4: Simplify right side
    24,546.75x = 1,474,531,200.14
  5. Step 5: Solve for x
    x = 1,474,531,200.14/24,546.75
  6. Step 6: Final answer
    x = 60,070.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.