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Finding the Third Proportional to 6,708 and 10,262

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Solution

The third proportional to 6,708 and 10,262 is: 15,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708 : 10,262 = 10,262 : x
  2. Step 2: Convert to fraction form
    6,708/10,262 = 10,262/x
  3. Step 3: Cross multiply
    6,708x = 10,262 × 10,262
  4. Step 4: Simplify right side
    6,708x = 105,308,644
  5. Step 5: Solve for x
    x = 105,308,644/6,708
  6. Step 6: Final answer
    x = 15,698.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.