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Finding the Third Proportional to 22,032 and 42,957

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Solution

The third proportional to 22,032 and 42,957 is: 83,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032 : 42,957 = 42,957 : x
  2. Step 2: Convert to fraction form
    22,032/42,957 = 42,957/x
  3. Step 3: Cross multiply
    22,032x = 42,957 × 42,957
  4. Step 4: Simplify right side
    22,032x = 1,845,303,849
  5. Step 5: Solve for x
    x = 1,845,303,849/22,032
  6. Step 6: Final answer
    x = 83,755.62

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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.