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Finding the Third Proportional to 14,206 and 30,896

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Solution

The third proportional to 14,206 and 30,896 is: 67,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206 : 30,896 = 30,896 : x
  2. Step 2: Convert to fraction form
    14,206/30,896 = 30,896/x
  3. Step 3: Cross multiply
    14,206x = 30,896 × 30,896
  4. Step 4: Simplify right side
    14,206x = 954,562,816
  5. Step 5: Solve for x
    x = 954,562,816/14,206
  6. Step 6: Final answer
    x = 67,194.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.