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Finding the Third Proportional to 7,702 and 16,328

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Solution

The third proportional to 7,702 and 16,328 is: 34,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702 : 16,328 = 16,328 : x
  2. Step 2: Convert to fraction form
    7,702/16,328 = 16,328/x
  3. Step 3: Cross multiply
    7,702x = 16,328 × 16,328
  4. Step 4: Simplify right side
    7,702x = 266,603,584
  5. Step 5: Solve for x
    x = 266,603,584/7,702
  6. Step 6: Final answer
    x = 34,614.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.