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Finding the Third Proportional to 4,187 and 9,905

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Solution

The third proportional to 4,187 and 9,905 is: 23,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187 : 9,905 = 9,905 : x
  2. Step 2: Convert to fraction form
    4,187/9,905 = 9,905/x
  3. Step 3: Cross multiply
    4,187x = 9,905 × 9,905
  4. Step 4: Simplify right side
    4,187x = 98,109,025
  5. Step 5: Solve for x
    x = 98,109,025/4,187
  6. Step 6: Final answer
    x = 23,431.82

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.