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Finding the Third Proportional to 9,711.75 and 20,808.38

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Solution

The third proportional to 9,711.75 and 20,808.38 is: 44,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.75 : 20,808.38 = 20,808.38 : x
  2. Step 2: Convert to fraction form
    9,711.75/20,808.38 = 20,808.38/x
  3. Step 3: Cross multiply
    9,711.75x = 20,808.38 × 20,808.38
  4. Step 4: Simplify right side
    9,711.75x = 432,988,470.14
  5. Step 5: Solve for x
    x = 432,988,470.14/9,711.75
  6. Step 6: Final answer
    x = 44,583.98

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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.