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Finding the Third Proportional to 4,177 and 5,840

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Solution

The third proportional to 4,177 and 5,840 is: 8,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177 : 5,840 = 5,840 : x
  2. Step 2: Convert to fraction form
    4,177/5,840 = 5,840/x
  3. Step 3: Cross multiply
    4,177x = 5,840 × 5,840
  4. Step 4: Simplify right side
    4,177x = 34,105,600
  5. Step 5: Solve for x
    x = 34,105,600/4,177
  6. Step 6: Final answer
    x = 8,165.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.