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Finding the Third Proportional to 8,339.68 and 18,301.57

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Solution

The third proportional to 8,339.68 and 18,301.57 is: 40,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.68 : 18,301.57 = 18,301.57 : x
  2. Step 2: Convert to fraction form
    8,339.68/18,301.57 = 18,301.57/x
  3. Step 3: Cross multiply
    8,339.68x = 18,301.57 × 18,301.57
  4. Step 4: Simplify right side
    8,339.68x = 334,947,475.90
  5. Step 5: Solve for x
    x = 334,947,475.90/8,339.68
  6. Step 6: Final answer
    x = 40,163.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.