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Finding the Third Proportional to 9,414.16 and 20,287.44

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Solution

The third proportional to 9,414.16 and 20,287.44 is: 43,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.16 : 20,287.44 = 20,287.44 : x
  2. Step 2: Convert to fraction form
    9,414.16/20,287.44 = 20,287.44/x
  3. Step 3: Cross multiply
    9,414.16x = 20,287.44 × 20,287.44
  4. Step 4: Simplify right side
    9,414.16x = 411,580,120.32
  5. Step 5: Solve for x
    x = 411,580,120.32/9,414.16
  6. Step 6: Final answer
    x = 43,719.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.