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Finding the Third Proportional to 23,145.75 and 54,257.34

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Solution

The third proportional to 23,145.75 and 54,257.34 is: 127,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.75 : 54,257.34 = 54,257.34 : x
  2. Step 2: Convert to fraction form
    23,145.75/54,257.34 = 54,257.34/x
  3. Step 3: Cross multiply
    23,145.75x = 54,257.34 × 54,257.34
  4. Step 4: Simplify right side
    23,145.75x = 2,943,859,350.81
  5. Step 5: Solve for x
    x = 2,943,859,350.81/23,145.75
  6. Step 6: Final answer
    x = 127,187.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.