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Finding the Third Proportional to 4,016.14 and 6,280.51

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Solution

The third proportional to 4,016.14 and 6,280.51 is: 9,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.14 : 6,280.51 = 6,280.51 : x
  2. Step 2: Convert to fraction form
    4,016.14/6,280.51 = 6,280.51/x
  3. Step 3: Cross multiply
    4,016.14x = 6,280.51 × 6,280.51
  4. Step 4: Simplify right side
    4,016.14x = 39,444,753.85
  5. Step 5: Solve for x
    x = 39,444,753.85/4,016.14
  6. Step 6: Final answer
    x = 9,821.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.