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Finding the Third Proportional to 16,890 and 19,662

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Solution

The third proportional to 16,890 and 19,662 is: 22,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,890 : 19,662 = 19,662 : x
  2. Step 2: Convert to fraction form
    16,890/19,662 = 19,662/x
  3. Step 3: Cross multiply
    16,890x = 19,662 × 19,662
  4. Step 4: Simplify right side
    16,890x = 386,594,244
  5. Step 5: Solve for x
    x = 386,594,244/16,890
  6. Step 6: Final answer
    x = 22,888.94

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.