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Finding the Third Proportional to 3,746 and 4,899

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Solution

The third proportional to 3,746 and 4,899 is: 6,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746 : 4,899 = 4,899 : x
  2. Step 2: Convert to fraction form
    3,746/4,899 = 4,899/x
  3. Step 3: Cross multiply
    3,746x = 4,899 × 4,899
  4. Step 4: Simplify right side
    3,746x = 24,000,201
  5. Step 5: Solve for x
    x = 24,000,201/3,746
  6. Step 6: Final answer
    x = 6,406.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.