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Finding the Third Proportional to 32,364.56 and 50,228.86

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Solution

The third proportional to 32,364.56 and 50,228.86 is: 77,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,364.56 : 50,228.86 = 50,228.86 : x
  2. Step 2: Convert to fraction form
    32,364.56/50,228.86 = 50,228.86/x
  3. Step 3: Cross multiply
    32,364.56x = 50,228.86 × 50,228.86
  4. Step 4: Simplify right side
    32,364.56x = 2,522,938,314.11
  5. Step 5: Solve for x
    x = 2,522,938,314.11/32,364.56
  6. Step 6: Final answer
    x = 77,953.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.