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Finding the Third Proportional to 2,218.50 and 4,773.75

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Solution

The third proportional to 2,218.50 and 4,773.75 is: 10,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.50 : 4,773.75 = 4,773.75 : x
  2. Step 2: Convert to fraction form
    2,218.50/4,773.75 = 4,773.75/x
  3. Step 3: Cross multiply
    2,218.50x = 4,773.75 × 4,773.75
  4. Step 4: Simplify right side
    2,218.50x = 22,788,689.06
  5. Step 5: Solve for x
    x = 22,788,689.06/2,218.50
  6. Step 6: Final answer
    x = 10,272.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.