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Finding the Third Proportional to 16,151 and 21,662

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Solution

The third proportional to 16,151 and 21,662 is: 29,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151 : 21,662 = 21,662 : x
  2. Step 2: Convert to fraction form
    16,151/21,662 = 21,662/x
  3. Step 3: Cross multiply
    16,151x = 21,662 × 21,662
  4. Step 4: Simplify right side
    16,151x = 469,242,244
  5. Step 5: Solve for x
    x = 469,242,244/16,151
  6. Step 6: Final answer
    x = 29,053.45

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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.