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Finding the Third Proportional to 2,656.75 and 7,226.75

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Solution

The third proportional to 2,656.75 and 7,226.75 is: 19,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.75 : 7,226.75 = 7,226.75 : x
  2. Step 2: Convert to fraction form
    2,656.75/7,226.75 = 7,226.75/x
  3. Step 3: Cross multiply
    2,656.75x = 7,226.75 × 7,226.75
  4. Step 4: Simplify right side
    2,656.75x = 52,225,915.56
  5. Step 5: Solve for x
    x = 52,225,915.56/2,656.75
  6. Step 6: Final answer
    x = 19,657.82

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.