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Finding the Third Proportional to 1,962.04 and 3,034.18

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Solution

The third proportional to 1,962.04 and 3,034.18 is: 4,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.04 : 3,034.18 = 3,034.18 : x
  2. Step 2: Convert to fraction form
    1,962.04/3,034.18 = 3,034.18/x
  3. Step 3: Cross multiply
    1,962.04x = 3,034.18 × 3,034.18
  4. Step 4: Simplify right side
    1,962.04x = 9,206,234.52
  5. Step 5: Solve for x
    x = 9,206,234.52/1,962.04
  6. Step 6: Final answer
    x = 4,692.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.