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Finding the Third Proportional to 34,744.25 and 75,860.49

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Solution

The third proportional to 34,744.25 and 75,860.49 is: 165,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,744.25 : 75,860.49 = 75,860.49 : x
  2. Step 2: Convert to fraction form
    34,744.25/75,860.49 = 75,860.49/x
  3. Step 3: Cross multiply
    34,744.25x = 75,860.49 × 75,860.49
  4. Step 4: Simplify right side
    34,744.25x = 5,754,814,645.34
  5. Step 5: Solve for x
    x = 5,754,814,645.34/34,744.25
  6. Step 6: Final answer
    x = 165,633.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.