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Finding the Third Proportional to 14,693.91 and 22,348.41

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Solution

The third proportional to 14,693.91 and 22,348.41 is: 33,990.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.91 : 22,348.41 = 22,348.41 : x
  2. Step 2: Convert to fraction form
    14,693.91/22,348.41 = 22,348.41/x
  3. Step 3: Cross multiply
    14,693.91x = 22,348.41 × 22,348.41
  4. Step 4: Simplify right side
    14,693.91x = 499,451,261.92
  5. Step 5: Solve for x
    x = 499,451,261.92/14,693.91
  6. Step 6: Final answer
    x = 33,990.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.