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Finding the Third Proportional to 7,350.75 and 10,243.13

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Solution

The third proportional to 7,350.75 and 10,243.13 is: 14,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.75 : 10,243.13 = 10,243.13 : x
  2. Step 2: Convert to fraction form
    7,350.75/10,243.13 = 10,243.13/x
  3. Step 3: Cross multiply
    7,350.75x = 10,243.13 × 10,243.13
  4. Step 4: Simplify right side
    7,350.75x = 104,921,609.77
  5. Step 5: Solve for x
    x = 104,921,609.77/7,350.75
  6. Step 6: Final answer
    x = 14,273.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.