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Finding the Third Proportional to 9,410 and 13,163

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Solution

The third proportional to 9,410 and 13,163 is: 18,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410 : 13,163 = 13,163 : x
  2. Step 2: Convert to fraction form
    9,410/13,163 = 13,163/x
  3. Step 3: Cross multiply
    9,410x = 13,163 × 13,163
  4. Step 4: Simplify right side
    9,410x = 173,264,569
  5. Step 5: Solve for x
    x = 173,264,569/9,410
  6. Step 6: Final answer
    x = 18,412.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.