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Finding the Third Proportional to 9,201.09 and 20,148.75

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Solution

The third proportional to 9,201.09 and 20,148.75 is: 44,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.09 : 20,148.75 = 20,148.75 : x
  2. Step 2: Convert to fraction form
    9,201.09/20,148.75 = 20,148.75/x
  3. Step 3: Cross multiply
    9,201.09x = 20,148.75 × 20,148.75
  4. Step 4: Simplify right side
    9,201.09x = 405,972,126.56
  5. Step 5: Solve for x
    x = 405,972,126.56/9,201.09
  6. Step 6: Final answer
    x = 44,122.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.