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Finding the Third Proportional to 5,742 and 9,485

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Solution

The third proportional to 5,742 and 9,485 is: 15,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 9,485 = 9,485 : x
  2. Step 2: Convert to fraction form
    5,742/9,485 = 9,485/x
  3. Step 3: Cross multiply
    5,742x = 9,485 × 9,485
  4. Step 4: Simplify right side
    5,742x = 89,965,225
  5. Step 5: Solve for x
    x = 89,965,225/5,742
  6. Step 6: Final answer
    x = 15,667.92

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.