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Finding the Third Proportional to 13,682.25 and 29,959.88

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Solution

The third proportional to 13,682.25 and 29,959.88 is: 65,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.25 : 29,959.88 = 29,959.88 : x
  2. Step 2: Convert to fraction form
    13,682.25/29,959.88 = 29,959.88/x
  3. Step 3: Cross multiply
    13,682.25x = 29,959.88 × 29,959.88
  4. Step 4: Simplify right side
    13,682.25x = 897,594,110.02
  5. Step 5: Solve for x
    x = 897,594,110.02/13,682.25
  6. Step 6: Final answer
    x = 65,602.81

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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.