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Finding the Third Proportional to 21,976 and 34,000

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Solution

The third proportional to 21,976 and 34,000 is: 52,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976 : 34,000 = 34,000 : x
  2. Step 2: Convert to fraction form
    21,976/34,000 = 34,000/x
  3. Step 3: Cross multiply
    21,976x = 34,000 × 34,000
  4. Step 4: Simplify right side
    21,976x = 1,156,000,000
  5. Step 5: Solve for x
    x = 1,156,000,000/21,976
  6. Step 6: Final answer
    x = 52,602.84

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