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Finding the Third Proportional to 5,768 and 6,308

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Solution

The third proportional to 5,768 and 6,308 is: 6,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768 : 6,308 = 6,308 : x
  2. Step 2: Convert to fraction form
    5,768/6,308 = 6,308/x
  3. Step 3: Cross multiply
    5,768x = 6,308 × 6,308
  4. Step 4: Simplify right side
    5,768x = 39,790,864
  5. Step 5: Solve for x
    x = 39,790,864/5,768
  6. Step 6: Final answer
    x = 6,898.55

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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.