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Finding the Third Proportional to 7,147.26 and 15,399.77

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Solution

The third proportional to 7,147.26 and 15,399.77 is: 33,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.26 : 15,399.77 = 15,399.77 : x
  2. Step 2: Convert to fraction form
    7,147.26/15,399.77 = 15,399.77/x
  3. Step 3: Cross multiply
    7,147.26x = 15,399.77 × 15,399.77
  4. Step 4: Simplify right side
    7,147.26x = 237,152,886.58
  5. Step 5: Solve for x
    x = 237,152,886.58/7,147.26
  6. Step 6: Final answer
    x = 33,180.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.