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Finding the Third Proportional to 9,906 and 23,217

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Solution

The third proportional to 9,906 and 23,217 is: 54,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 23,217 = 23,217 : x
  2. Step 2: Convert to fraction form
    9,906/23,217 = 23,217/x
  3. Step 3: Cross multiply
    9,906x = 23,217 × 23,217
  4. Step 4: Simplify right side
    9,906x = 539,029,089
  5. Step 5: Solve for x
    x = 539,029,089/9,906
  6. Step 6: Final answer
    x = 54,414.40

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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.