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Finding the Third Proportional to 7,785 and 18,351

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Solution

The third proportional to 7,785 and 18,351 is: 43,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 18,351 = 18,351 : x
  2. Step 2: Convert to fraction form
    7,785/18,351 = 18,351/x
  3. Step 3: Cross multiply
    7,785x = 18,351 × 18,351
  4. Step 4: Simplify right side
    7,785x = 336,759,201
  5. Step 5: Solve for x
    x = 336,759,201/7,785
  6. Step 6: Final answer
    x = 43,257.44

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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.