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Finding the Third Proportional to 4,272 and 8,719.50

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Solution

The third proportional to 4,272 and 8,719.50 is: 17,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272 : 8,719.50 = 8,719.50 : x
  2. Step 2: Convert to fraction form
    4,272/8,719.50 = 8,719.50/x
  3. Step 3: Cross multiply
    4,272x = 8,719.50 × 8,719.50
  4. Step 4: Simplify right side
    4,272x = 76,029,680.25
  5. Step 5: Solve for x
    x = 76,029,680.25/4,272
  6. Step 6: Final answer
    x = 17,797.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.