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Finding the Third Proportional to 21,962 and 34,287

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Solution

The third proportional to 21,962 and 34,287 is: 53,528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962 : 34,287 = 34,287 : x
  2. Step 2: Convert to fraction form
    21,962/34,287 = 34,287/x
  3. Step 3: Cross multiply
    21,962x = 34,287 × 34,287
  4. Step 4: Simplify right side
    21,962x = 1,175,598,369
  5. Step 5: Solve for x
    x = 1,175,598,369/21,962
  6. Step 6: Final answer
    x = 53,528.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.