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Finding the Third Proportional to 9,812.39 and 21,296.67

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Solution

The third proportional to 9,812.39 and 21,296.67 is: 46,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.39 : 21,296.67 = 21,296.67 : x
  2. Step 2: Convert to fraction form
    9,812.39/21,296.67 = 21,296.67/x
  3. Step 3: Cross multiply
    9,812.39x = 21,296.67 × 21,296.67
  4. Step 4: Simplify right side
    9,812.39x = 453,548,232.95
  5. Step 5: Solve for x
    x = 453,548,232.95/9,812.39
  6. Step 6: Final answer
    x = 46,221.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.