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Finding the Third Proportional to 23,358.75 and 31,474.13

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Solution

The third proportional to 23,358.75 and 31,474.13 is: 42,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,358.75 : 31,474.13 = 31,474.13 : x
  2. Step 2: Convert to fraction form
    23,358.75/31,474.13 = 31,474.13/x
  3. Step 3: Cross multiply
    23,358.75x = 31,474.13 × 31,474.13
  4. Step 4: Simplify right side
    23,358.75x = 990,620,544.52
  5. Step 5: Solve for x
    x = 990,620,544.52/23,358.75
  6. Step 6: Final answer
    x = 42,408.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.