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Finding the Third Proportional to 9,414.75 and 18,593.25

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Solution

The third proportional to 9,414.75 and 18,593.25 is: 36,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.75 : 18,593.25 = 18,593.25 : x
  2. Step 2: Convert to fraction form
    9,414.75/18,593.25 = 18,593.25/x
  3. Step 3: Cross multiply
    9,414.75x = 18,593.25 × 18,593.25
  4. Step 4: Simplify right side
    9,414.75x = 345,708,945.56
  5. Step 5: Solve for x
    x = 345,708,945.56/9,414.75
  6. Step 6: Final answer
    x = 36,719.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.