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Finding the Third Proportional to 1,974.75 and 3,184.13

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Solution

The third proportional to 1,974.75 and 3,184.13 is: 5,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.75 : 3,184.13 = 3,184.13 : x
  2. Step 2: Convert to fraction form
    1,974.75/3,184.13 = 3,184.13/x
  3. Step 3: Cross multiply
    1,974.75x = 3,184.13 × 3,184.13
  4. Step 4: Simplify right side
    1,974.75x = 10,138,652.02
  5. Step 5: Solve for x
    x = 10,138,652.02/1,974.75
  6. Step 6: Final answer
    x = 5,134.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.