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Finding the Third Proportional to 6,238 and 14,446

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Solution

The third proportional to 6,238 and 14,446 is: 33,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238 : 14,446 = 14,446 : x
  2. Step 2: Convert to fraction form
    6,238/14,446 = 14,446/x
  3. Step 3: Cross multiply
    6,238x = 14,446 × 14,446
  4. Step 4: Simplify right side
    6,238x = 208,686,916
  5. Step 5: Solve for x
    x = 208,686,916/6,238
  6. Step 6: Final answer
    x = 33,454.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.