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Finding the Third Proportional to 15,774 and 22,206

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Solution

The third proportional to 15,774 and 22,206 is: 31,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774 : 22,206 = 22,206 : x
  2. Step 2: Convert to fraction form
    15,774/22,206 = 22,206/x
  3. Step 3: Cross multiply
    15,774x = 22,206 × 22,206
  4. Step 4: Simplify right side
    15,774x = 493,106,436
  5. Step 5: Solve for x
    x = 493,106,436/15,774
  6. Step 6: Final answer
    x = 31,260.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.