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Finding the Third Proportional to 3,184 and 6,971

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Solution

The third proportional to 3,184 and 6,971 is: 15,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 6,971 = 6,971 : x
  2. Step 2: Convert to fraction form
    3,184/6,971 = 6,971/x
  3. Step 3: Cross multiply
    3,184x = 6,971 × 6,971
  4. Step 4: Simplify right side
    3,184x = 48,594,841
  5. Step 5: Solve for x
    x = 48,594,841/3,184
  6. Step 6: Final answer
    x = 15,262.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.