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Finding the Third Proportional to 32,764.50 and 45,415.69

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Solution

The third proportional to 32,764.50 and 45,415.69 is: 62,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764.50 : 45,415.69 = 45,415.69 : x
  2. Step 2: Convert to fraction form
    32,764.50/45,415.69 = 45,415.69/x
  3. Step 3: Cross multiply
    32,764.50x = 45,415.69 × 45,415.69
  4. Step 4: Simplify right side
    32,764.50x = 2,062,584,671.10
  5. Step 5: Solve for x
    x = 2,062,584,671.10/32,764.50
  6. Step 6: Final answer
    x = 62,951.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.