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Finding the Third Proportional to 13,922 and 30,206

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Solution

The third proportional to 13,922 and 30,206 is: 65,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922 : 30,206 = 30,206 : x
  2. Step 2: Convert to fraction form
    13,922/30,206 = 30,206/x
  3. Step 3: Cross multiply
    13,922x = 30,206 × 30,206
  4. Step 4: Simplify right side
    13,922x = 912,402,436
  5. Step 5: Solve for x
    x = 912,402,436/13,922
  6. Step 6: Final answer
    x = 65,536.74

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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.