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Finding the Third Proportional to 41,436.75 and 90,710

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Solution

The third proportional to 41,436.75 and 90,710 is: 198,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,436.75 : 90,710 = 90,710 : x
  2. Step 2: Convert to fraction form
    41,436.75/90,710 = 90,710/x
  3. Step 3: Cross multiply
    41,436.75x = 90,710 × 90,710
  4. Step 4: Simplify right side
    41,436.75x = 8,228,304,100
  5. Step 5: Solve for x
    x = 8,228,304,100/41,436.75
  6. Step 6: Final answer
    x = 198,575.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.