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Finding the Third Proportional to 10,477.69 and 22,729.22

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Solution

The third proportional to 10,477.69 and 22,729.22 is: 49,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.69 : 22,729.22 = 22,729.22 : x
  2. Step 2: Convert to fraction form
    10,477.69/22,729.22 = 22,729.22/x
  3. Step 3: Cross multiply
    10,477.69x = 22,729.22 × 22,729.22
  4. Step 4: Simplify right side
    10,477.69x = 516,617,384.99
  5. Step 5: Solve for x
    x = 516,617,384.99/10,477.69
  6. Step 6: Final answer
    x = 49,306.43

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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.