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Finding the Third Proportional to 9,384.19 and 20,223

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Solution

The third proportional to 9,384.19 and 20,223 is: 43,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.19 : 20,223 = 20,223 : x
  2. Step 2: Convert to fraction form
    9,384.19/20,223 = 20,223/x
  3. Step 3: Cross multiply
    9,384.19x = 20,223 × 20,223
  4. Step 4: Simplify right side
    9,384.19x = 408,969,729
  5. Step 5: Solve for x
    x = 408,969,729/9,384.19
  6. Step 6: Final answer
    x = 43,580.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.