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Finding the Third Proportional to 5,758 and 6,298

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Solution

The third proportional to 5,758 and 6,298 is: 6,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758 : 6,298 = 6,298 : x
  2. Step 2: Convert to fraction form
    5,758/6,298 = 6,298/x
  3. Step 3: Cross multiply
    5,758x = 6,298 × 6,298
  4. Step 4: Simplify right side
    5,758x = 39,664,804
  5. Step 5: Solve for x
    x = 39,664,804/5,758
  6. Step 6: Final answer
    x = 6,888.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.