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Finding the Third Proportional to 3,732.33 and 5,290.95

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Solution

The third proportional to 3,732.33 and 5,290.95 is: 7,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.33 : 5,290.95 = 5,290.95 : x
  2. Step 2: Convert to fraction form
    3,732.33/5,290.95 = 5,290.95/x
  3. Step 3: Cross multiply
    3,732.33x = 5,290.95 × 5,290.95
  4. Step 4: Simplify right side
    3,732.33x = 27,994,102.30
  5. Step 5: Solve for x
    x = 27,994,102.30/3,732.33
  6. Step 6: Final answer
    x = 7,500.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.