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Finding the Third Proportional to 9,293 and 13,693

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Solution

The third proportional to 9,293 and 13,693 is: 20,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293 : 13,693 = 13,693 : x
  2. Step 2: Convert to fraction form
    9,293/13,693 = 13,693/x
  3. Step 3: Cross multiply
    9,293x = 13,693 × 13,693
  4. Step 4: Simplify right side
    9,293x = 187,498,249
  5. Step 5: Solve for x
    x = 187,498,249/9,293
  6. Step 6: Final answer
    x = 20,176.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.