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Finding the Third Proportional to 638.75 and 1,412.13

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Solution

The third proportional to 638.75 and 1,412.13 is: 3,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.75 : 1,412.13 = 1,412.13 : x
  2. Step 2: Convert to fraction form
    638.75/1,412.13 = 1,412.13/x
  3. Step 3: Cross multiply
    638.75x = 1,412.13 × 1,412.13
  4. Step 4: Simplify right side
    638.75x = 1,994,097.02
  5. Step 5: Solve for x
    x = 1,994,097.02/638.75
  6. Step 6: Final answer
    x = 3,121.87

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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.