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Finding the Third Proportional to 16,366 and 35,237

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Solution

The third proportional to 16,366 and 35,237 is: 75,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366 : 35,237 = 35,237 : x
  2. Step 2: Convert to fraction form
    16,366/35,237 = 35,237/x
  3. Step 3: Cross multiply
    16,366x = 35,237 × 35,237
  4. Step 4: Simplify right side
    16,366x = 1,241,646,169
  5. Step 5: Solve for x
    x = 1,241,646,169/16,366
  6. Step 6: Final answer
    x = 75,867.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.