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Finding the Third Proportional to 11,266 and 23,246

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Solution

The third proportional to 11,266 and 23,246 is: 47,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266 : 23,246 = 23,246 : x
  2. Step 2: Convert to fraction form
    11,266/23,246 = 23,246/x
  3. Step 3: Cross multiply
    11,266x = 23,246 × 23,246
  4. Step 4: Simplify right side
    11,266x = 540,376,516
  5. Step 5: Solve for x
    x = 540,376,516/11,266
  6. Step 6: Final answer
    x = 47,965.25

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.