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Finding the Third Proportional to 5,776.13 and 8,961.38

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Solution

The third proportional to 5,776.13 and 8,961.38 is: 13,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.13 : 8,961.38 = 8,961.38 : x
  2. Step 2: Convert to fraction form
    5,776.13/8,961.38 = 8,961.38/x
  3. Step 3: Cross multiply
    5,776.13x = 8,961.38 × 8,961.38
  4. Step 4: Simplify right side
    5,776.13x = 80,306,241.89
  5. Step 5: Solve for x
    x = 80,306,241.89/5,776.13
  6. Step 6: Final answer
    x = 13,903.13

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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.