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Finding the Third Proportional to 24,880.92 and 38,078.86

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Solution

The third proportional to 24,880.92 and 38,078.86 is: 58,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,880.92 : 38,078.86 = 38,078.86 : x
  2. Step 2: Convert to fraction form
    24,880.92/38,078.86 = 38,078.86/x
  3. Step 3: Cross multiply
    24,880.92x = 38,078.86 × 38,078.86
  4. Step 4: Simplify right side
    24,880.92x = 1,449,999,531.30
  5. Step 5: Solve for x
    x = 1,449,999,531.30/24,880.92
  6. Step 6: Final answer
    x = 58,277.56

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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.