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Finding the Third Proportional to 2,218 and 3,207.50

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Solution

The third proportional to 2,218 and 3,207.50 is: 4,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218 : 3,207.50 = 3,207.50 : x
  2. Step 2: Convert to fraction form
    2,218/3,207.50 = 3,207.50/x
  3. Step 3: Cross multiply
    2,218x = 3,207.50 × 3,207.50
  4. Step 4: Simplify right side
    2,218x = 10,288,056.25
  5. Step 5: Solve for x
    x = 10,288,056.25/2,218
  6. Step 6: Final answer
    x = 4,638.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.