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Finding the Third Proportional to 14,189.25 and 21,957

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Solution

The third proportional to 14,189.25 and 21,957 is: 33,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.25 : 21,957 = 21,957 : x
  2. Step 2: Convert to fraction form
    14,189.25/21,957 = 21,957/x
  3. Step 3: Cross multiply
    14,189.25x = 21,957 × 21,957
  4. Step 4: Simplify right side
    14,189.25x = 482,109,849
  5. Step 5: Solve for x
    x = 482,109,849/14,189.25
  6. Step 6: Final answer
    x = 33,977.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.