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Finding the Third Proportional to 16,057.41 and 22,824.28

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Solution

The third proportional to 16,057.41 and 22,824.28 is: 32,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.41 : 22,824.28 = 22,824.28 : x
  2. Step 2: Convert to fraction form
    16,057.41/22,824.28 = 22,824.28/x
  3. Step 3: Cross multiply
    16,057.41x = 22,824.28 × 22,824.28
  4. Step 4: Simplify right side
    16,057.41x = 520,947,814.58
  5. Step 5: Solve for x
    x = 520,947,814.58/16,057.41
  6. Step 6: Final answer
    x = 32,442.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.