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Finding the Third Proportional to 5,731 and 8,868.50

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Solution

The third proportional to 5,731 and 8,868.50 is: 13,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731 : 8,868.50 = 8,868.50 : x
  2. Step 2: Convert to fraction form
    5,731/8,868.50 = 8,868.50/x
  3. Step 3: Cross multiply
    5,731x = 8,868.50 × 8,868.50
  4. Step 4: Simplify right side
    5,731x = 78,650,292.25
  5. Step 5: Solve for x
    x = 78,650,292.25/5,731
  6. Step 6: Final answer
    x = 13,723.66

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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.