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Finding the Third Proportional to 23,520.38 and 36,709.88

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Solution

The third proportional to 23,520.38 and 36,709.88 is: 57,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520.38 : 36,709.88 = 36,709.88 : x
  2. Step 2: Convert to fraction form
    23,520.38/36,709.88 = 36,709.88/x
  3. Step 3: Cross multiply
    23,520.38x = 36,709.88 × 36,709.88
  4. Step 4: Simplify right side
    23,520.38x = 1,347,614,922.52
  5. Step 5: Solve for x
    x = 1,347,614,922.52/23,520.38
  6. Step 6: Final answer
    x = 57,295.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.