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Finding the Third Proportional to 22,868 and 32,032

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Solution

The third proportional to 22,868 and 32,032 is: 44,868.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,868 : 32,032 = 32,032 : x
  2. Step 2: Convert to fraction form
    22,868/32,032 = 32,032/x
  3. Step 3: Cross multiply
    22,868x = 32,032 × 32,032
  4. Step 4: Simplify right side
    22,868x = 1,026,049,024
  5. Step 5: Solve for x
    x = 1,026,049,024/22,868
  6. Step 6: Final answer
    x = 44,868.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.