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Finding the Third Proportional to 8,906 and 9,866

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Solution

The third proportional to 8,906 and 9,866 is: 10,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906 : 9,866 = 9,866 : x
  2. Step 2: Convert to fraction form
    8,906/9,866 = 9,866/x
  3. Step 3: Cross multiply
    8,906x = 9,866 × 9,866
  4. Step 4: Simplify right side
    8,906x = 97,337,956
  5. Step 5: Solve for x
    x = 97,337,956/8,906
  6. Step 6: Final answer
    x = 10,929.48

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.