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Finding the Third Proportional to 2,870.44 and 6,304.71

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Solution

The third proportional to 2,870.44 and 6,304.71 is: 13,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.44 : 6,304.71 = 6,304.71 : x
  2. Step 2: Convert to fraction form
    2,870.44/6,304.71 = 6,304.71/x
  3. Step 3: Cross multiply
    2,870.44x = 6,304.71 × 6,304.71
  4. Step 4: Simplify right side
    2,870.44x = 39,749,380.01
  5. Step 5: Solve for x
    x = 39,749,380.01/2,870.44
  6. Step 6: Final answer
    x = 13,847.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.