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Finding the Third Proportional to 7,998.75 and 17,452.13

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Solution

The third proportional to 7,998.75 and 17,452.13 is: 38,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.75 : 17,452.13 = 17,452.13 : x
  2. Step 2: Convert to fraction form
    7,998.75/17,452.13 = 17,452.13/x
  3. Step 3: Cross multiply
    7,998.75x = 17,452.13 × 17,452.13
  4. Step 4: Simplify right side
    7,998.75x = 304,576,667.02
  5. Step 5: Solve for x
    x = 304,576,667.02/7,998.75
  6. Step 6: Final answer
    x = 38,078.03

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1.5x scale

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.