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Finding the Third Proportional to 9,849 and 16,413

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Solution

The third proportional to 9,849 and 16,413 is: 27,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849 : 16,413 = 16,413 : x
  2. Step 2: Convert to fraction form
    9,849/16,413 = 16,413/x
  3. Step 3: Cross multiply
    9,849x = 16,413 × 16,413
  4. Step 4: Simplify right side
    9,849x = 269,386,569
  5. Step 5: Solve for x
    x = 269,386,569/9,849
  6. Step 6: Final answer
    x = 27,351.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.