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Finding the Third Proportional to 1,108.75 and 2,344.25

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Solution

The third proportional to 1,108.75 and 2,344.25 is: 4,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.75 : 2,344.25 = 2,344.25 : x
  2. Step 2: Convert to fraction form
    1,108.75/2,344.25 = 2,344.25/x
  3. Step 3: Cross multiply
    1,108.75x = 2,344.25 × 2,344.25
  4. Step 4: Simplify right side
    1,108.75x = 5,495,508.06
  5. Step 5: Solve for x
    x = 5,495,508.06/1,108.75
  6. Step 6: Final answer
    x = 4,956.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.