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Finding the Third Proportional to 10,329.19 and 22,408.31

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Solution

The third proportional to 10,329.19 and 22,408.31 is: 48,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.19 : 22,408.31 = 22,408.31 : x
  2. Step 2: Convert to fraction form
    10,329.19/22,408.31 = 22,408.31/x
  3. Step 3: Cross multiply
    10,329.19x = 22,408.31 × 22,408.31
  4. Step 4: Simplify right side
    10,329.19x = 502,132,469.10
  5. Step 5: Solve for x
    x = 502,132,469.10/10,329.19
  6. Step 6: Final answer
    x = 48,612.97

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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.