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Finding the Third Proportional to 9,491.24 and 20,810.67

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Solution

The third proportional to 9,491.24 and 20,810.67 is: 45,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.24 : 20,810.67 = 20,810.67 : x
  2. Step 2: Convert to fraction form
    9,491.24/20,810.67 = 20,810.67/x
  3. Step 3: Cross multiply
    9,491.24x = 20,810.67 × 20,810.67
  4. Step 4: Simplify right side
    9,491.24x = 433,084,063.89
  5. Step 5: Solve for x
    x = 433,084,063.89/9,491.24
  6. Step 6: Final answer
    x = 45,629.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.