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Finding the Third Proportional to 5,776 and 6,328

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Solution

The third proportional to 5,776 and 6,328 is: 6,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776 : 6,328 = 6,328 : x
  2. Step 2: Convert to fraction form
    5,776/6,328 = 6,328/x
  3. Step 3: Cross multiply
    5,776x = 6,328 × 6,328
  4. Step 4: Simplify right side
    5,776x = 40,043,584
  5. Step 5: Solve for x
    x = 40,043,584/5,776
  6. Step 6: Final answer
    x = 6,932.75

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.