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Finding the Third Proportional to 14,410.88 and 33,659.63

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Solution

The third proportional to 14,410.88 and 33,659.63 is: 78,619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.88 : 33,659.63 = 33,659.63 : x
  2. Step 2: Convert to fraction form
    14,410.88/33,659.63 = 33,659.63/x
  3. Step 3: Cross multiply
    14,410.88x = 33,659.63 × 33,659.63
  4. Step 4: Simplify right side
    14,410.88x = 1,132,970,355.14
  5. Step 5: Solve for x
    x = 1,132,970,355.14/14,410.88
  6. Step 6: Final answer
    x = 78,619.12

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.