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Finding the Third Proportional to 2,867.25 and 4,431.56

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Solution

The third proportional to 2,867.25 and 4,431.56 is: 6,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.25 : 4,431.56 = 4,431.56 : x
  2. Step 2: Convert to fraction form
    2,867.25/4,431.56 = 4,431.56/x
  3. Step 3: Cross multiply
    2,867.25x = 4,431.56 × 4,431.56
  4. Step 4: Simplify right side
    2,867.25x = 19,638,746.19
  5. Step 5: Solve for x
    x = 19,638,746.19/2,867.25
  6. Step 6: Final answer
    x = 6,849.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.