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Finding the Third Proportional to 24,316.88 and 36,974.81

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Solution

The third proportional to 24,316.88 and 36,974.81 is: 56,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.88 : 36,974.81 = 36,974.81 : x
  2. Step 2: Convert to fraction form
    24,316.88/36,974.81 = 36,974.81/x
  3. Step 3: Cross multiply
    24,316.88x = 36,974.81 × 36,974.81
  4. Step 4: Simplify right side
    24,316.88x = 1,367,136,759.41
  5. Step 5: Solve for x
    x = 1,367,136,759.41/24,316.88
  6. Step 6: Final answer
    x = 56,221.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.