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Finding the Third Proportional to 10,336.99 and 22,424.34

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Solution

The third proportional to 10,336.99 and 22,424.34 is: 48,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.99 : 22,424.34 = 22,424.34 : x
  2. Step 2: Convert to fraction form
    10,336.99/22,424.34 = 22,424.34/x
  3. Step 3: Cross multiply
    10,336.99x = 22,424.34 × 22,424.34
  4. Step 4: Simplify right side
    10,336.99x = 502,851,192.62
  5. Step 5: Solve for x
    x = 502,851,192.62/10,336.99
  6. Step 6: Final answer
    x = 48,645.79

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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.