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Finding the Third Proportional to 11,246.25 and 16,020.38

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Solution

The third proportional to 11,246.25 and 16,020.38 is: 22,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.25 : 16,020.38 = 16,020.38 : x
  2. Step 2: Convert to fraction form
    11,246.25/16,020.38 = 16,020.38/x
  3. Step 3: Cross multiply
    11,246.25x = 16,020.38 × 16,020.38
  4. Step 4: Simplify right side
    11,246.25x = 256,652,415.14
  5. Step 5: Solve for x
    x = 256,652,415.14/11,246.25
  6. Step 6: Final answer
    x = 22,821.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.