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Finding the Third Proportional to 13,849 and 30,206

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Solution

The third proportional to 13,849 and 30,206 is: 65,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849 : 30,206 = 30,206 : x
  2. Step 2: Convert to fraction form
    13,849/30,206 = 30,206/x
  3. Step 3: Cross multiply
    13,849x = 30,206 × 30,206
  4. Step 4: Simplify right side
    13,849x = 912,402,436
  5. Step 5: Solve for x
    x = 912,402,436/13,849
  6. Step 6: Final answer
    x = 65,882.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.