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Finding the Third Proportional to 32,212.88 and 48,764.81

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Solution

The third proportional to 32,212.88 and 48,764.81 is: 73,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.88 : 48,764.81 = 48,764.81 : x
  2. Step 2: Convert to fraction form
    32,212.88/48,764.81 = 48,764.81/x
  3. Step 3: Cross multiply
    32,212.88x = 48,764.81 × 48,764.81
  4. Step 4: Simplify right side
    32,212.88x = 2,378,006,938.16
  5. Step 5: Solve for x
    x = 2,378,006,938.16/32,212.88
  6. Step 6: Final answer
    x = 73,821.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.