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Finding the Third Proportional to 16,785 and 33,138

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Solution

The third proportional to 16,785 and 33,138 is: 65,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785 : 33,138 = 33,138 : x
  2. Step 2: Convert to fraction form
    16,785/33,138 = 33,138/x
  3. Step 3: Cross multiply
    16,785x = 33,138 × 33,138
  4. Step 4: Simplify right side
    16,785x = 1,098,127,044
  5. Step 5: Solve for x
    x = 1,098,127,044/16,785
  6. Step 6: Final answer
    x = 65,423.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.