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Finding the Third Proportional to 14,981.20 and 33,288.05

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Solution

The third proportional to 14,981.20 and 33,288.05 is: 73,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,981.20 : 33,288.05 = 33,288.05 : x
  2. Step 2: Convert to fraction form
    14,981.20/33,288.05 = 33,288.05/x
  3. Step 3: Cross multiply
    14,981.20x = 33,288.05 × 33,288.05
  4. Step 4: Simplify right side
    14,981.20x = 1,108,094,064.75
  5. Step 5: Solve for x
    x = 1,108,094,064.75/14,981.20
  6. Step 6: Final answer
    x = 73,965.63

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.