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Finding the Third Proportional to 34,770.38 and 75,084.19

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Solution

The third proportional to 34,770.38 and 75,084.19 is: 162,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.38 : 75,084.19 = 75,084.19 : x
  2. Step 2: Convert to fraction form
    34,770.38/75,084.19 = 75,084.19/x
  3. Step 3: Cross multiply
    34,770.38x = 75,084.19 × 75,084.19
  4. Step 4: Simplify right side
    34,770.38x = 5,637,635,212.54
  5. Step 5: Solve for x
    x = 5,637,635,212.54/34,770.38
  6. Step 6: Final answer
    x = 162,139.04

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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.