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Finding the Third Proportional to 9,275.06 and 20,550.94

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Solution

The third proportional to 9,275.06 and 20,550.94 is: 45,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.06 : 20,550.94 = 20,550.94 : x
  2. Step 2: Convert to fraction form
    9,275.06/20,550.94 = 20,550.94/x
  3. Step 3: Cross multiply
    9,275.06x = 20,550.94 × 20,550.94
  4. Step 4: Simplify right side
    9,275.06x = 422,341,032.13
  5. Step 5: Solve for x
    x = 422,341,032.13/9,275.06
  6. Step 6: Final answer
    x = 45,535.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.