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Finding the Third Proportional to 34,452 and 76,304.25

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Solution

The third proportional to 34,452 and 76,304.25 is: 168,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,452 : 76,304.25 = 76,304.25 : x
  2. Step 2: Convert to fraction form
    34,452/76,304.25 = 76,304.25/x
  3. Step 3: Cross multiply
    34,452x = 76,304.25 × 76,304.25
  4. Step 4: Simplify right side
    34,452x = 5,822,338,568.06
  5. Step 5: Solve for x
    x = 5,822,338,568.06/34,452
  6. Step 6: Final answer
    x = 168,998.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.