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Finding the Third Proportional to 23,358.38 and 36,711.56

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Solution

The third proportional to 23,358.38 and 36,711.56 is: 57,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,358.38 : 36,711.56 = 36,711.56 : x
  2. Step 2: Convert to fraction form
    23,358.38/36,711.56 = 36,711.56/x
  3. Step 3: Cross multiply
    23,358.38x = 36,711.56 × 36,711.56
  4. Step 4: Simplify right side
    23,358.38x = 1,347,738,821.19
  5. Step 5: Solve for x
    x = 1,347,738,821.19/23,358.38
  6. Step 6: Final answer
    x = 57,698.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.