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Finding the Third Proportional to 5,871.38 and 12,873.94

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Solution

The third proportional to 5,871.38 and 12,873.94 is: 28,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.38 : 12,873.94 = 12,873.94 : x
  2. Step 2: Convert to fraction form
    5,871.38/12,873.94 = 12,873.94/x
  3. Step 3: Cross multiply
    5,871.38x = 12,873.94 × 12,873.94
  4. Step 4: Simplify right side
    5,871.38x = 165,738,266.75
  5. Step 5: Solve for x
    x = 165,738,266.75/5,871.38
  6. Step 6: Final answer
    x = 28,228.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.