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Finding the Third Proportional to 16,422 and 26,145

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Solution

The third proportional to 16,422 and 26,145 is: 41,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422 : 26,145 = 26,145 : x
  2. Step 2: Convert to fraction form
    16,422/26,145 = 26,145/x
  3. Step 3: Cross multiply
    16,422x = 26,145 × 26,145
  4. Step 4: Simplify right side
    16,422x = 683,561,025
  5. Step 5: Solve for x
    x = 683,561,025/16,422
  6. Step 6: Final answer
    x = 41,624.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.