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Finding the Third Proportional to 9,508.32 and 21,912.71

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Solution

The third proportional to 9,508.32 and 21,912.71 is: 50,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.32 : 21,912.71 = 21,912.71 : x
  2. Step 2: Convert to fraction form
    9,508.32/21,912.71 = 21,912.71/x
  3. Step 3: Cross multiply
    9,508.32x = 21,912.71 × 21,912.71
  4. Step 4: Simplify right side
    9,508.32x = 480,167,071.82
  5. Step 5: Solve for x
    x = 480,167,071.82/9,508.32
  6. Step 6: Final answer
    x = 50,499.65

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.