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Finding the Third Proportional to 16,486 and 38,899

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Solution

The third proportional to 16,486 and 38,899 is: 91,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486 : 38,899 = 38,899 : x
  2. Step 2: Convert to fraction form
    16,486/38,899 = 38,899/x
  3. Step 3: Cross multiply
    16,486x = 38,899 × 38,899
  4. Step 4: Simplify right side
    16,486x = 1,513,132,201
  5. Step 5: Solve for x
    x = 1,513,132,201/16,486
  6. Step 6: Final answer
    x = 91,782.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.