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Finding the Third Proportional to 7,874 and 17,062

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Solution

The third proportional to 7,874 and 17,062 is: 36,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874 : 17,062 = 17,062 : x
  2. Step 2: Convert to fraction form
    7,874/17,062 = 17,062/x
  3. Step 3: Cross multiply
    7,874x = 17,062 × 17,062
  4. Step 4: Simplify right side
    7,874x = 291,111,844
  5. Step 5: Solve for x
    x = 291,111,844/7,874
  6. Step 6: Final answer
    x = 36,971.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.