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Finding the Third Proportional to 22,973 and 42,665

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Solution

The third proportional to 22,973 and 42,665 is: 79,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973 : 42,665 = 42,665 : x
  2. Step 2: Convert to fraction form
    22,973/42,665 = 42,665/x
  3. Step 3: Cross multiply
    22,973x = 42,665 × 42,665
  4. Step 4: Simplify right side
    22,973x = 1,820,302,225
  5. Step 5: Solve for x
    x = 1,820,302,225/22,973
  6. Step 6: Final answer
    x = 79,236.59

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.