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Finding the Third Proportional to 9,906 and 14,085

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Solution

The third proportional to 9,906 and 14,085 is: 20,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 14,085 = 14,085 : x
  2. Step 2: Convert to fraction form
    9,906/14,085 = 14,085/x
  3. Step 3: Cross multiply
    9,906x = 14,085 × 14,085
  4. Step 4: Simplify right side
    9,906x = 198,387,225
  5. Step 5: Solve for x
    x = 198,387,225/9,906
  6. Step 6: Final answer
    x = 20,026.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.