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Finding the Third Proportional to 21,982 and 34,063

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Solution

The third proportional to 21,982 and 34,063 is: 52,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982 : 34,063 = 34,063 : x
  2. Step 2: Convert to fraction form
    21,982/34,063 = 34,063/x
  3. Step 3: Cross multiply
    21,982x = 34,063 × 34,063
  4. Step 4: Simplify right side
    21,982x = 1,160,287,969
  5. Step 5: Solve for x
    x = 1,160,287,969/21,982
  6. Step 6: Final answer
    x = 52,783.55

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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.