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Finding the Third Proportional to 7,243.13 and 11,512.69

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Solution

The third proportional to 7,243.13 and 11,512.69 is: 18,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.13 : 11,512.69 = 11,512.69 : x
  2. Step 2: Convert to fraction form
    7,243.13/11,512.69 = 11,512.69/x
  3. Step 3: Cross multiply
    7,243.13x = 11,512.69 × 11,512.69
  4. Step 4: Simplify right side
    7,243.13x = 132,541,973.47
  5. Step 5: Solve for x
    x = 132,541,973.47/7,243.13
  6. Step 6: Final answer
    x = 18,299.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.