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Finding the Third Proportional to 41,635.50 and 89,919

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Solution

The third proportional to 41,635.50 and 89,919 is: 194,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,635.50 : 89,919 = 89,919 : x
  2. Step 2: Convert to fraction form
    41,635.50/89,919 = 89,919/x
  3. Step 3: Cross multiply
    41,635.50x = 89,919 × 89,919
  4. Step 4: Simplify right side
    41,635.50x = 8,085,426,561
  5. Step 5: Solve for x
    x = 8,085,426,561/41,635.50
  6. Step 6: Final answer
    x = 194,195.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.