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Finding the Third Proportional to 2,870.44 and 4,305.66

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Solution

The third proportional to 2,870.44 and 4,305.66 is: 6,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.44 : 4,305.66 = 4,305.66 : x
  2. Step 2: Convert to fraction form
    2,870.44/4,305.66 = 4,305.66/x
  3. Step 3: Cross multiply
    2,870.44x = 4,305.66 × 4,305.66
  4. Step 4: Simplify right side
    2,870.44x = 18,538,675.74
  5. Step 5: Solve for x
    x = 18,538,675.74/2,870.44
  6. Step 6: Final answer
    x = 6,458.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.