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Finding the Third Proportional to 2,842 and 6,952

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Solution

The third proportional to 2,842 and 6,952 is: 17,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842 : 6,952 = 6,952 : x
  2. Step 2: Convert to fraction form
    2,842/6,952 = 6,952/x
  3. Step 3: Cross multiply
    2,842x = 6,952 × 6,952
  4. Step 4: Simplify right side
    2,842x = 48,330,304
  5. Step 5: Solve for x
    x = 48,330,304/2,842
  6. Step 6: Final answer
    x = 17,005.74

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.