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Finding the Third Proportional to 22,036 and 42,965

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Solution

The third proportional to 22,036 and 42,965 is: 83,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036 : 42,965 = 42,965 : x
  2. Step 2: Convert to fraction form
    22,036/42,965 = 42,965/x
  3. Step 3: Cross multiply
    22,036x = 42,965 × 42,965
  4. Step 4: Simplify right side
    22,036x = 1,845,991,225
  5. Step 5: Solve for x
    x = 1,845,991,225/22,036
  6. Step 6: Final answer
    x = 83,771.61

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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.