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Finding the Third Proportional to 9,659.75 and 20,595.38

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Solution

The third proportional to 9,659.75 and 20,595.38 is: 43,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.75 : 20,595.38 = 20,595.38 : x
  2. Step 2: Convert to fraction form
    9,659.75/20,595.38 = 20,595.38/x
  3. Step 3: Cross multiply
    9,659.75x = 20,595.38 × 20,595.38
  4. Step 4: Simplify right side
    9,659.75x = 424,169,471.39
  5. Step 5: Solve for x
    x = 424,169,471.39/9,659.75
  6. Step 6: Final answer
    x = 43,911.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.