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Finding the Third Proportional to 13,671.60 and 22,324.36

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Solution

The third proportional to 13,671.60 and 22,324.36 is: 36,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.60 : 22,324.36 = 22,324.36 : x
  2. Step 2: Convert to fraction form
    13,671.60/22,324.36 = 22,324.36/x
  3. Step 3: Cross multiply
    13,671.60x = 22,324.36 × 22,324.36
  4. Step 4: Simplify right side
    13,671.60x = 498,377,021.50
  5. Step 5: Solve for x
    x = 498,377,021.50/13,671.60
  6. Step 6: Final answer
    x = 36,453.46

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.