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Finding the Third Proportional to 21,933 and 34,023

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Solution

The third proportional to 21,933 and 34,023 is: 52,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933 : 34,023 = 34,023 : x
  2. Step 2: Convert to fraction form
    21,933/34,023 = 34,023/x
  3. Step 3: Cross multiply
    21,933x = 34,023 × 34,023
  4. Step 4: Simplify right side
    21,933x = 1,157,564,529
  5. Step 5: Solve for x
    x = 1,157,564,529/21,933
  6. Step 6: Final answer
    x = 52,777.30

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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.