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Finding the Third Proportional to 14,727.75 and 22,043.53

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Solution

The third proportional to 14,727.75 and 22,043.53 is: 32,993.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727.75 : 22,043.53 = 22,043.53 : x
  2. Step 2: Convert to fraction form
    14,727.75/22,043.53 = 22,043.53/x
  3. Step 3: Cross multiply
    14,727.75x = 22,043.53 × 22,043.53
  4. Step 4: Simplify right side
    14,727.75x = 485,917,269.97
  5. Step 5: Solve for x
    x = 485,917,269.97/14,727.75
  6. Step 6: Final answer
    x = 32,993.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.