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Finding the Third Proportional to 2,871.86 and 4,437.60

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Solution

The third proportional to 2,871.86 and 4,437.60 is: 6,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.86 : 4,437.60 = 4,437.60 : x
  2. Step 2: Convert to fraction form
    2,871.86/4,437.60 = 4,437.60/x
  3. Step 3: Cross multiply
    2,871.86x = 4,437.60 × 4,437.60
  4. Step 4: Simplify right side
    2,871.86x = 19,692,272.96
  5. Step 5: Solve for x
    x = 19,692,272.96/2,871.86
  6. Step 6: Final answer
    x = 6,856.97

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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.