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Finding the Third Proportional to 41,856.75 and 56,634.19

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Solution

The third proportional to 41,856.75 and 56,634.19 is: 76,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,856.75 : 56,634.19 = 56,634.19 : x
  2. Step 2: Convert to fraction form
    41,856.75/56,634.19 = 56,634.19/x
  3. Step 3: Cross multiply
    41,856.75x = 56,634.19 × 56,634.19
  4. Step 4: Simplify right side
    41,856.75x = 3,207,431,193.79
  5. Step 5: Solve for x
    x = 3,207,431,193.79/41,856.75
  6. Step 6: Final answer
    x = 76,628.77

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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.