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Finding the Third Proportional to 4,019 and 9,389

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Solution

The third proportional to 4,019 and 9,389 is: 21,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019 : 9,389 = 9,389 : x
  2. Step 2: Convert to fraction form
    4,019/9,389 = 9,389/x
  3. Step 3: Cross multiply
    4,019x = 9,389 × 9,389
  4. Step 4: Simplify right side
    4,019x = 88,153,321
  5. Step 5: Solve for x
    x = 88,153,321/4,019
  6. Step 6: Final answer
    x = 21,934.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.