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Finding the Third Proportional to 21,993 and 34,069

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Solution

The third proportional to 21,993 and 34,069 is: 52,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993 : 34,069 = 34,069 : x
  2. Step 2: Convert to fraction form
    21,993/34,069 = 34,069/x
  3. Step 3: Cross multiply
    21,993x = 34,069 × 34,069
  4. Step 4: Simplify right side
    21,993x = 1,160,696,761
  5. Step 5: Solve for x
    x = 1,160,696,761/21,993
  6. Step 6: Final answer
    x = 52,775.74

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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.