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Finding the Third Proportional to 9,590.06 and 20,512.75

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Solution

The third proportional to 9,590.06 and 20,512.75 is: 43,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.06 : 20,512.75 = 20,512.75 : x
  2. Step 2: Convert to fraction form
    9,590.06/20,512.75 = 20,512.75/x
  3. Step 3: Cross multiply
    9,590.06x = 20,512.75 × 20,512.75
  4. Step 4: Simplify right side
    9,590.06x = 420,772,912.56
  5. Step 5: Solve for x
    x = 420,772,912.56/9,590.06
  6. Step 6: Final answer
    x = 43,875.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.