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Finding the Third Proportional to 4,165 and 8,905

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Solution

The third proportional to 4,165 and 8,905 is: 19,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165 : 8,905 = 8,905 : x
  2. Step 2: Convert to fraction form
    4,165/8,905 = 8,905/x
  3. Step 3: Cross multiply
    4,165x = 8,905 × 8,905
  4. Step 4: Simplify right side
    4,165x = 79,299,025
  5. Step 5: Solve for x
    x = 79,299,025/4,165
  6. Step 6: Final answer
    x = 19,039.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.