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Finding the Third Proportional to 9,434 and 13,351

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Solution

The third proportional to 9,434 and 13,351 is: 18,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434 : 13,351 = 13,351 : x
  2. Step 2: Convert to fraction form
    9,434/13,351 = 13,351/x
  3. Step 3: Cross multiply
    9,434x = 13,351 × 13,351
  4. Step 4: Simplify right side
    9,434x = 178,249,201
  5. Step 5: Solve for x
    x = 178,249,201/9,434
  6. Step 6: Final answer
    x = 18,894.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.