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Finding the Third Proportional to 5,226.19 and 9,789.19

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Solution

The third proportional to 5,226.19 and 9,789.19 is: 18,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.19 : 9,789.19 = 9,789.19 : x
  2. Step 2: Convert to fraction form
    5,226.19/9,789.19 = 9,789.19/x
  3. Step 3: Cross multiply
    5,226.19x = 9,789.19 × 9,789.19
  4. Step 4: Simplify right side
    5,226.19x = 95,828,191.91
  5. Step 5: Solve for x
    x = 95,828,191.91/5,226.19
  6. Step 6: Final answer
    x = 18,336.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.