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Finding the Third Proportional to 14,206 and 30,368

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Solution

The third proportional to 14,206 and 30,368 is: 64,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206 : 30,368 = 30,368 : x
  2. Step 2: Convert to fraction form
    14,206/30,368 = 30,368/x
  3. Step 3: Cross multiply
    14,206x = 30,368 × 30,368
  4. Step 4: Simplify right side
    14,206x = 922,215,424
  5. Step 5: Solve for x
    x = 922,215,424/14,206
  6. Step 6: Final answer
    x = 64,917.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.