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Finding the Third Proportional to 10,254.09 and 21,601.69

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Solution

The third proportional to 10,254.09 and 21,601.69 is: 45,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.09 : 21,601.69 = 21,601.69 : x
  2. Step 2: Convert to fraction form
    10,254.09/21,601.69 = 21,601.69/x
  3. Step 3: Cross multiply
    10,254.09x = 21,601.69 × 21,601.69
  4. Step 4: Simplify right side
    10,254.09x = 466,632,902.85
  5. Step 5: Solve for x
    x = 466,632,902.85/10,254.09
  6. Step 6: Final answer
    x = 45,506.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.