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Finding the Third Proportional to 6,702 and 10,415

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Solution

The third proportional to 6,702 and 10,415 is: 16,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702 : 10,415 = 10,415 : x
  2. Step 2: Convert to fraction form
    6,702/10,415 = 10,415/x
  3. Step 3: Cross multiply
    6,702x = 10,415 × 10,415
  4. Step 4: Simplify right side
    6,702x = 108,472,225
  5. Step 5: Solve for x
    x = 108,472,225/6,702
  6. Step 6: Final answer
    x = 16,185.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.