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Finding the Third Proportional to 9,511 and 22,223

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Solution

The third proportional to 9,511 and 22,223 is: 51,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511 : 22,223 = 22,223 : x
  2. Step 2: Convert to fraction form
    9,511/22,223 = 22,223/x
  3. Step 3: Cross multiply
    9,511x = 22,223 × 22,223
  4. Step 4: Simplify right side
    9,511x = 493,861,729
  5. Step 5: Solve for x
    x = 493,861,729/9,511
  6. Step 6: Final answer
    x = 51,925.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.