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Finding the Third Proportional to 41,370.75 and 89,742.94

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Solution

The third proportional to 41,370.75 and 89,742.94 is: 194,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,370.75 : 89,742.94 = 89,742.94 : x
  2. Step 2: Convert to fraction form
    41,370.75/89,742.94 = 89,742.94/x
  3. Step 3: Cross multiply
    41,370.75x = 89,742.94 × 89,742.94
  4. Step 4: Simplify right side
    41,370.75x = 8,053,794,831.13
  5. Step 5: Solve for x
    x = 8,053,794,831.13/41,370.75
  6. Step 6: Final answer
    x = 194,673.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.