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Finding the Third Proportional to 2,214.25 and 3,278.63

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Solution

The third proportional to 2,214.25 and 3,278.63 is: 4,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.25 : 3,278.63 = 3,278.63 : x
  2. Step 2: Convert to fraction form
    2,214.25/3,278.63 = 3,278.63/x
  3. Step 3: Cross multiply
    2,214.25x = 3,278.63 × 3,278.63
  4. Step 4: Simplify right side
    2,214.25x = 10,749,381.89
  5. Step 5: Solve for x
    x = 10,749,381.89/2,214.25
  6. Step 6: Final answer
    x = 4,854.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.