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Finding the Third Proportional to 16,149 and 21,659

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Solution

The third proportional to 16,149 and 21,659 is: 29,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149 : 21,659 = 21,659 : x
  2. Step 2: Convert to fraction form
    16,149/21,659 = 21,659/x
  3. Step 3: Cross multiply
    16,149x = 21,659 × 21,659
  4. Step 4: Simplify right side
    16,149x = 469,112,281
  5. Step 5: Solve for x
    x = 469,112,281/16,149
  6. Step 6: Final answer
    x = 29,049.00

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