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Finding the Third Proportional to 5,191.88 and 6,864.75

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Solution

The third proportional to 5,191.88 and 6,864.75 is: 9,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.88 : 6,864.75 = 6,864.75 : x
  2. Step 2: Convert to fraction form
    5,191.88/6,864.75 = 6,864.75/x
  3. Step 3: Cross multiply
    5,191.88x = 6,864.75 × 6,864.75
  4. Step 4: Simplify right side
    5,191.88x = 47,124,792.56
  5. Step 5: Solve for x
    x = 47,124,792.56/5,191.88
  6. Step 6: Final answer
    x = 9,076.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.