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Finding the Third Proportional to 32,951.53 and 68,239.50

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Solution

The third proportional to 32,951.53 and 68,239.50 is: 141,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.53 : 68,239.50 = 68,239.50 : x
  2. Step 2: Convert to fraction form
    32,951.53/68,239.50 = 68,239.50/x
  3. Step 3: Cross multiply
    32,951.53x = 68,239.50 × 68,239.50
  4. Step 4: Simplify right side
    32,951.53x = 4,656,629,360.25
  5. Step 5: Solve for x
    x = 4,656,629,360.25/32,951.53
  6. Step 6: Final answer
    x = 141,317.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.