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Finding the Third Proportional to 14,659.73 and 32,087.39

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Solution

The third proportional to 14,659.73 and 32,087.39 is: 70,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.73 : 32,087.39 = 32,087.39 : x
  2. Step 2: Convert to fraction form
    14,659.73/32,087.39 = 32,087.39/x
  3. Step 3: Cross multiply
    14,659.73x = 32,087.39 × 32,087.39
  4. Step 4: Simplify right side
    14,659.73x = 1,029,600,637.12
  5. Step 5: Solve for x
    x = 1,029,600,637.12/14,659.73
  6. Step 6: Final answer
    x = 70,233.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.