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Finding the Third Proportional to 5,226 and 11,210

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Solution

The third proportional to 5,226 and 11,210 is: 24,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226 : 11,210 = 11,210 : x
  2. Step 2: Convert to fraction form
    5,226/11,210 = 11,210/x
  3. Step 3: Cross multiply
    5,226x = 11,210 × 11,210
  4. Step 4: Simplify right side
    5,226x = 125,664,100
  5. Step 5: Solve for x
    x = 125,664,100/5,226
  6. Step 6: Final answer
    x = 24,045.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.