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Finding the Third Proportional to 5,228.30 and 9,334.62

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Solution

The third proportional to 5,228.30 and 9,334.62 is: 16,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.30 : 9,334.62 = 9,334.62 : x
  2. Step 2: Convert to fraction form
    5,228.30/9,334.62 = 9,334.62/x
  3. Step 3: Cross multiply
    5,228.30x = 9,334.62 × 9,334.62
  4. Step 4: Simplify right side
    5,228.30x = 87,135,078.04
  5. Step 5: Solve for x
    x = 87,135,078.04/5,228.30
  6. Step 6: Final answer
    x = 16,666.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.