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Finding the Third Proportional to 6,166.13 and 15,199.31

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Solution

The third proportional to 6,166.13 and 15,199.31 is: 37,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.13 : 15,199.31 = 15,199.31 : x
  2. Step 2: Convert to fraction form
    6,166.13/15,199.31 = 15,199.31/x
  3. Step 3: Cross multiply
    6,166.13x = 15,199.31 × 15,199.31
  4. Step 4: Simplify right side
    6,166.13x = 231,019,100.47
  5. Step 5: Solve for x
    x = 231,019,100.47/6,166.13
  6. Step 6: Final answer
    x = 37,465.85

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.