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Finding the Third Proportional to 4,381.59 and 6,787.97

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Solution

The third proportional to 4,381.59 and 6,787.97 is: 10,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.59 : 6,787.97 = 6,787.97 : x
  2. Step 2: Convert to fraction form
    4,381.59/6,787.97 = 6,787.97/x
  3. Step 3: Cross multiply
    4,381.59x = 6,787.97 × 6,787.97
  4. Step 4: Simplify right side
    4,381.59x = 46,076,519.75
  5. Step 5: Solve for x
    x = 46,076,519.75/4,381.59
  6. Step 6: Final answer
    x = 10,515.93

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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.