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Finding the Third Proportional to 5,258 and 7,759

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Solution

The third proportional to 5,258 and 7,759 is: 11,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258 : 7,759 = 7,759 : x
  2. Step 2: Convert to fraction form
    5,258/7,759 = 7,759/x
  3. Step 3: Cross multiply
    5,258x = 7,759 × 7,759
  4. Step 4: Simplify right side
    5,258x = 60,202,081
  5. Step 5: Solve for x
    x = 60,202,081/5,258
  6. Step 6: Final answer
    x = 11,449.62

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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.