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Finding the Third Proportional to 6,702.75 and 12,463.88

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Solution

The third proportional to 6,702.75 and 12,463.88 is: 23,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.75 : 12,463.88 = 12,463.88 : x
  2. Step 2: Convert to fraction form
    6,702.75/12,463.88 = 12,463.88/x
  3. Step 3: Cross multiply
    6,702.75x = 12,463.88 × 12,463.88
  4. Step 4: Simplify right side
    6,702.75x = 155,348,180.02
  5. Step 5: Solve for x
    x = 155,348,180.02/6,702.75
  6. Step 6: Final answer
    x = 23,176.78

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.