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Finding the Third Proportional to 6,706 and 10,373

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Solution

The third proportional to 6,706 and 10,373 is: 16,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706 : 10,373 = 10,373 : x
  2. Step 2: Convert to fraction form
    6,706/10,373 = 10,373/x
  3. Step 3: Cross multiply
    6,706x = 10,373 × 10,373
  4. Step 4: Simplify right side
    6,706x = 107,599,129
  5. Step 5: Solve for x
    x = 107,599,129/6,706
  6. Step 6: Final answer
    x = 16,045.20

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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.