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Finding the Third Proportional to 14,778.28 and 22,182.47

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Solution

The third proportional to 14,778.28 and 22,182.47 is: 33,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.28 : 22,182.47 = 22,182.47 : x
  2. Step 2: Convert to fraction form
    14,778.28/22,182.47 = 22,182.47/x
  3. Step 3: Cross multiply
    14,778.28x = 22,182.47 × 22,182.47
  4. Step 4: Simplify right side
    14,778.28x = 492,061,919.84
  5. Step 5: Solve for x
    x = 492,061,919.84/14,778.28
  6. Step 6: Final answer
    x = 33,296.29

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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.