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Finding the Third Proportional to 24,474.38 and 38,154.38

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Solution

The third proportional to 24,474.38 and 38,154.38 is: 59,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.38 : 38,154.38 = 38,154.38 : x
  2. Step 2: Convert to fraction form
    24,474.38/38,154.38 = 38,154.38/x
  3. Step 3: Cross multiply
    24,474.38x = 38,154.38 × 38,154.38
  4. Step 4: Simplify right side
    24,474.38x = 1,455,756,331.64
  5. Step 5: Solve for x
    x = 1,455,756,331.64/24,474.38
  6. Step 6: Final answer
    x = 59,480.84

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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.