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Finding the Third Proportional to 24,049.41 and 42,904.69

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Solution

The third proportional to 24,049.41 and 42,904.69 is: 76,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.41 : 42,904.69 = 42,904.69 : x
  2. Step 2: Convert to fraction form
    24,049.41/42,904.69 = 42,904.69/x
  3. Step 3: Cross multiply
    24,049.41x = 42,904.69 × 42,904.69
  4. Step 4: Simplify right side
    24,049.41x = 1,840,812,209.47
  5. Step 5: Solve for x
    x = 1,840,812,209.47/24,049.41
  6. Step 6: Final answer
    x = 76,542.94

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.