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Finding the Third Proportional to 14,936.06 and 32,506.31

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Solution

The third proportional to 14,936.06 and 32,506.31 is: 70,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,936.06 : 32,506.31 = 32,506.31 : x
  2. Step 2: Convert to fraction form
    14,936.06/32,506.31 = 32,506.31/x
  3. Step 3: Cross multiply
    14,936.06x = 32,506.31 × 32,506.31
  4. Step 4: Simplify right side
    14,936.06x = 1,056,660,352.35
  5. Step 5: Solve for x
    x = 1,056,660,352.35/14,936.06
  6. Step 6: Final answer
    x = 70,745.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.