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Finding the Third Proportional to 9,238 and 19,579

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Solution

The third proportional to 9,238 and 19,579 is: 41,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238 : 19,579 = 19,579 : x
  2. Step 2: Convert to fraction form
    9,238/19,579 = 19,579/x
  3. Step 3: Cross multiply
    9,238x = 19,579 × 19,579
  4. Step 4: Simplify right side
    9,238x = 383,337,241
  5. Step 5: Solve for x
    x = 383,337,241/9,238
  6. Step 6: Final answer
    x = 41,495.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.