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Finding the Third Proportional to 14,100 and 21,957

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Solution

The third proportional to 14,100 and 21,957 is: 34,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100 : 21,957 = 21,957 : x
  2. Step 2: Convert to fraction form
    14,100/21,957 = 21,957/x
  3. Step 3: Cross multiply
    14,100x = 21,957 × 21,957
  4. Step 4: Simplify right side
    14,100x = 482,109,849
  5. Step 5: Solve for x
    x = 482,109,849/14,100
  6. Step 6: Final answer
    x = 34,192.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.