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Finding the Third Proportional to 15,750.38 and 24,369.38

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Solution

The third proportional to 15,750.38 and 24,369.38 is: 37,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,750.38 : 24,369.38 = 24,369.38 : x
  2. Step 2: Convert to fraction form
    15,750.38/24,369.38 = 24,369.38/x
  3. Step 3: Cross multiply
    15,750.38x = 24,369.38 × 24,369.38
  4. Step 4: Simplify right side
    15,750.38x = 593,866,437.89
  5. Step 5: Solve for x
    x = 593,866,437.89/15,750.38
  6. Step 6: Final answer
    x = 37,704.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.