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Finding the Third Proportional to 16,259 and 21,958

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Solution

The third proportional to 16,259 and 21,958 is: 29,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259 : 21,958 = 21,958 : x
  2. Step 2: Convert to fraction form
    16,259/21,958 = 21,958/x
  3. Step 3: Cross multiply
    16,259x = 21,958 × 21,958
  4. Step 4: Simplify right side
    16,259x = 482,153,764
  5. Step 5: Solve for x
    x = 482,153,764/16,259
  6. Step 6: Final answer
    x = 29,654.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.