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Finding the Third Proportional to 23,829.19 and 36,472.78

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Solution

The third proportional to 23,829.19 and 36,472.78 is: 55,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.19 : 36,472.78 = 36,472.78 : x
  2. Step 2: Convert to fraction form
    23,829.19/36,472.78 = 36,472.78/x
  3. Step 3: Cross multiply
    23,829.19x = 36,472.78 × 36,472.78
  4. Step 4: Simplify right side
    23,829.19x = 1,330,263,772.11
  5. Step 5: Solve for x
    x = 1,330,263,772.11/23,829.19
  6. Step 6: Final answer
    x = 55,824.97

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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.