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Finding the Third Proportional to 9,806.75 and 21,313.50

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Solution

The third proportional to 9,806.75 and 21,313.50 is: 46,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.75 : 21,313.50 = 21,313.50 : x
  2. Step 2: Convert to fraction form
    9,806.75/21,313.50 = 21,313.50/x
  3. Step 3: Cross multiply
    9,806.75x = 21,313.50 × 21,313.50
  4. Step 4: Simplify right side
    9,806.75x = 454,265,282.25
  5. Step 5: Solve for x
    x = 454,265,282.25/9,806.75
  6. Step 6: Final answer
    x = 46,321.69

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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.