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Finding the Third Proportional to 5,252.34 and 7,774.73

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Solution

The third proportional to 5,252.34 and 7,774.73 is: 11,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.34 : 7,774.73 = 7,774.73 : x
  2. Step 2: Convert to fraction form
    5,252.34/7,774.73 = 7,774.73/x
  3. Step 3: Cross multiply
    5,252.34x = 7,774.73 × 7,774.73
  4. Step 4: Simplify right side
    5,252.34x = 60,446,494.60
  5. Step 5: Solve for x
    x = 60,446,494.60/5,252.34
  6. Step 6: Final answer
    x = 11,508.48

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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.