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Finding the Third Proportional to 24,576.38 and 36,833.63

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Solution

The third proportional to 24,576.38 and 36,833.63 is: 55,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.38 : 36,833.63 = 36,833.63 : x
  2. Step 2: Convert to fraction form
    24,576.38/36,833.63 = 36,833.63/x
  3. Step 3: Cross multiply
    24,576.38x = 36,833.63 × 36,833.63
  4. Step 4: Simplify right side
    24,576.38x = 1,356,715,930.64
  5. Step 5: Solve for x
    x = 1,356,715,930.64/24,576.38
  6. Step 6: Final answer
    x = 55,204.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.