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Finding the Third Proportional to 23,412.38 and 50,565.38

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Solution

The third proportional to 23,412.38 and 50,565.38 is: 109,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.38 : 50,565.38 = 50,565.38 : x
  2. Step 2: Convert to fraction form
    23,412.38/50,565.38 = 50,565.38/x
  3. Step 3: Cross multiply
    23,412.38x = 50,565.38 × 50,565.38
  4. Step 4: Simplify right side
    23,412.38x = 2,556,857,148.89
  5. Step 5: Solve for x
    x = 2,556,857,148.89/23,412.38
  6. Step 6: Final answer
    x = 109,209.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.