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Finding the Third Proportional to 27,102.75 and 41,711.25

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Solution

The third proportional to 27,102.75 and 41,711.25 is: 64,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.75 : 41,711.25 = 41,711.25 : x
  2. Step 2: Convert to fraction form
    27,102.75/41,711.25 = 41,711.25/x
  3. Step 3: Cross multiply
    27,102.75x = 41,711.25 × 41,711.25
  4. Step 4: Simplify right side
    27,102.75x = 1,739,828,376.56
  5. Step 5: Solve for x
    x = 1,739,828,376.56/27,102.75
  6. Step 6: Final answer
    x = 64,193.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.