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Finding the Third Proportional to 3,886.73 and 6,015.52

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Solution

The third proportional to 3,886.73 and 6,015.52 is: 9,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.73 : 6,015.52 = 6,015.52 : x
  2. Step 2: Convert to fraction form
    3,886.73/6,015.52 = 6,015.52/x
  3. Step 3: Cross multiply
    3,886.73x = 6,015.52 × 6,015.52
  4. Step 4: Simplify right side
    3,886.73x = 36,186,428.23
  5. Step 5: Solve for x
    x = 36,186,428.23/3,886.73
  6. Step 6: Final answer
    x = 9,310.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.