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Finding the Third Proportional to 2,508.75 and 5,363.44

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Solution

The third proportional to 2,508.75 and 5,363.44 is: 11,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.75 : 5,363.44 = 5,363.44 : x
  2. Step 2: Convert to fraction form
    2,508.75/5,363.44 = 5,363.44/x
  3. Step 3: Cross multiply
    2,508.75x = 5,363.44 × 5,363.44
  4. Step 4: Simplify right side
    2,508.75x = 28,766,461.82
  5. Step 5: Solve for x
    x = 28,766,461.82/2,508.75
  6. Step 6: Final answer
    x = 11,466.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.