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Finding the Third Proportional to 7,842 and 16,708

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Solution

The third proportional to 7,842 and 16,708 is: 35,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842 : 16,708 = 16,708 : x
  2. Step 2: Convert to fraction form
    7,842/16,708 = 16,708/x
  3. Step 3: Cross multiply
    7,842x = 16,708 × 16,708
  4. Step 4: Simplify right side
    7,842x = 279,157,264
  5. Step 5: Solve for x
    x = 279,157,264/7,842
  6. Step 6: Final answer
    x = 35,597.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.