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Finding the Third Proportional to 21,927 and 34,014

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Solution

The third proportional to 21,927 and 34,014 is: 52,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927 : 34,014 = 34,014 : x
  2. Step 2: Convert to fraction form
    21,927/34,014 = 34,014/x
  3. Step 3: Cross multiply
    21,927x = 34,014 × 34,014
  4. Step 4: Simplify right side
    21,927x = 1,156,952,196
  5. Step 5: Solve for x
    x = 1,156,952,196/21,927
  6. Step 6: Final answer
    x = 52,763.82

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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.