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Finding the Third Proportional to 24,178.92 and 36,983.88

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Solution

The third proportional to 24,178.92 and 36,983.88 is: 56,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.92 : 36,983.88 = 36,983.88 : x
  2. Step 2: Convert to fraction form
    24,178.92/36,983.88 = 36,983.88/x
  3. Step 3: Cross multiply
    24,178.92x = 36,983.88 × 36,983.88
  4. Step 4: Simplify right side
    24,178.92x = 1,367,807,587.89
  5. Step 5: Solve for x
    x = 1,367,807,587.89/24,178.92
  6. Step 6: Final answer
    x = 56,570.25

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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.