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Finding the Third Proportional to 8,169.19 and 10,032.19

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Solution

The third proportional to 8,169.19 and 10,032.19 is: 12,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.19 : 10,032.19 = 10,032.19 : x
  2. Step 2: Convert to fraction form
    8,169.19/10,032.19 = 10,032.19/x
  3. Step 3: Cross multiply
    8,169.19x = 10,032.19 × 10,032.19
  4. Step 4: Simplify right side
    8,169.19x = 100,644,786.04
  5. Step 5: Solve for x
    x = 100,644,786.04/8,169.19
  6. Step 6: Final answer
    x = 12,320.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.