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Finding the Third Proportional to 24,013.88 and 38,583.75

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Solution

The third proportional to 24,013.88 and 38,583.75 is: 61,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.88 : 38,583.75 = 38,583.75 : x
  2. Step 2: Convert to fraction form
    24,013.88/38,583.75 = 38,583.75/x
  3. Step 3: Cross multiply
    24,013.88x = 38,583.75 × 38,583.75
  4. Step 4: Simplify right side
    24,013.88x = 1,488,705,764.06
  5. Step 5: Solve for x
    x = 1,488,705,764.06/24,013.88
  6. Step 6: Final answer
    x = 61,993.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.