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Finding the Third Proportional to 21,950 and 42,788

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Solution

The third proportional to 21,950 and 42,788 is: 83,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,950 : 42,788 = 42,788 : x
  2. Step 2: Convert to fraction form
    21,950/42,788 = 42,788/x
  3. Step 3: Cross multiply
    21,950x = 42,788 × 42,788
  4. Step 4: Simplify right side
    21,950x = 1,830,812,944
  5. Step 5: Solve for x
    x = 1,830,812,944/21,950
  6. Step 6: Final answer
    x = 83,408.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.