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Finding the Third Proportional to 21,971 and 34,049

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Solution

The third proportional to 21,971 and 34,049 is: 52,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971 : 34,049 = 34,049 : x
  2. Step 2: Convert to fraction form
    21,971/34,049 = 34,049/x
  3. Step 3: Cross multiply
    21,971x = 34,049 × 34,049
  4. Step 4: Simplify right side
    21,971x = 1,159,334,401
  5. Step 5: Solve for x
    x = 1,159,334,401/21,971
  6. Step 6: Final answer
    x = 52,766.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.