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Finding the Third Proportional to 8,022.94 and 16,557.19

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Solution

The third proportional to 8,022.94 and 16,557.19 is: 34,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.94 : 16,557.19 = 16,557.19 : x
  2. Step 2: Convert to fraction form
    8,022.94/16,557.19 = 16,557.19/x
  3. Step 3: Cross multiply
    8,022.94x = 16,557.19 × 16,557.19
  4. Step 4: Simplify right side
    8,022.94x = 274,140,457.91
  5. Step 5: Solve for x
    x = 274,140,457.91/8,022.94
  6. Step 6: Final answer
    x = 34,169.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.