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Finding the Third Proportional to 6,616.69 and 15,901.31

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Solution

The third proportional to 6,616.69 and 15,901.31 is: 38,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.69 : 15,901.31 = 15,901.31 : x
  2. Step 2: Convert to fraction form
    6,616.69/15,901.31 = 15,901.31/x
  3. Step 3: Cross multiply
    6,616.69x = 15,901.31 × 15,901.31
  4. Step 4: Simplify right side
    6,616.69x = 252,851,739.22
  5. Step 5: Solve for x
    x = 252,851,739.22/6,616.69
  6. Step 6: Final answer
    x = 38,214.25

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.