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Finding the Third Proportional to 1,765 and 4,181

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Solution

The third proportional to 1,765 and 4,181 is: 9,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765 : 4,181 = 4,181 : x
  2. Step 2: Convert to fraction form
    1,765/4,181 = 4,181/x
  3. Step 3: Cross multiply
    1,765x = 4,181 × 4,181
  4. Step 4: Simplify right side
    1,765x = 17,480,761
  5. Step 5: Solve for x
    x = 17,480,761/1,765
  6. Step 6: Final answer
    x = 9,904.11

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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.