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Finding the Third Proportional to 3,710 and 7,967

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Solution

The third proportional to 3,710 and 7,967 is: 17,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710 : 7,967 = 7,967 : x
  2. Step 2: Convert to fraction form
    3,710/7,967 = 7,967/x
  3. Step 3: Cross multiply
    3,710x = 7,967 × 7,967
  4. Step 4: Simplify right side
    3,710x = 63,473,089
  5. Step 5: Solve for x
    x = 63,473,089/3,710
  6. Step 6: Final answer
    x = 17,108.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.