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Finding the Third Proportional to 3,742 and 5,155

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Solution

The third proportional to 3,742 and 5,155 is: 7,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742 : 5,155 = 5,155 : x
  2. Step 2: Convert to fraction form
    3,742/5,155 = 5,155/x
  3. Step 3: Cross multiply
    3,742x = 5,155 × 5,155
  4. Step 4: Simplify right side
    3,742x = 26,574,025
  5. Step 5: Solve for x
    x = 26,574,025/3,742
  6. Step 6: Final answer
    x = 7,101.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.