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Finding the Third Proportional to 3,735 and 5,494

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Solution

The third proportional to 3,735 and 5,494 is: 8,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735 : 5,494 = 5,494 : x
  2. Step 2: Convert to fraction form
    3,735/5,494 = 5,494/x
  3. Step 3: Cross multiply
    3,735x = 5,494 × 5,494
  4. Step 4: Simplify right side
    3,735x = 30,184,036
  5. Step 5: Solve for x
    x = 30,184,036/3,735
  6. Step 6: Final answer
    x = 8,081.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.