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Finding the Third Proportional to 16,438 and 21,957

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Solution

The third proportional to 16,438 and 21,957 is: 29,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438 : 21,957 = 21,957 : x
  2. Step 2: Convert to fraction form
    16,438/21,957 = 21,957/x
  3. Step 3: Cross multiply
    16,438x = 21,957 × 21,957
  4. Step 4: Simplify right side
    16,438x = 482,109,849
  5. Step 5: Solve for x
    x = 482,109,849/16,438
  6. Step 6: Final answer
    x = 29,328.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.