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Finding the Third Proportional to 7,382.25 and 9,945.56

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Solution

The third proportional to 7,382.25 and 9,945.56 is: 13,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.25 : 9,945.56 = 9,945.56 : x
  2. Step 2: Convert to fraction form
    7,382.25/9,945.56 = 9,945.56/x
  3. Step 3: Cross multiply
    7,382.25x = 9,945.56 × 9,945.56
  4. Step 4: Simplify right side
    7,382.25x = 98,914,213.44
  5. Step 5: Solve for x
    x = 98,914,213.44/7,382.25
  6. Step 6: Final answer
    x = 13,398.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.