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Finding the Third Proportional to 5,824.13 and 9,226.69

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Solution

The third proportional to 5,824.13 and 9,226.69 is: 14,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.13 : 9,226.69 = 9,226.69 : x
  2. Step 2: Convert to fraction form
    5,824.13/9,226.69 = 9,226.69/x
  3. Step 3: Cross multiply
    5,824.13x = 9,226.69 × 9,226.69
  4. Step 4: Simplify right side
    5,824.13x = 85,131,762.22
  5. Step 5: Solve for x
    x = 85,131,762.22/5,824.13
  6. Step 6: Final answer
    x = 14,617.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.