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Finding the Third Proportional to 32,151.94 and 50,285.81

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Solution

The third proportional to 32,151.94 and 50,285.81 is: 78,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.94 : 50,285.81 = 50,285.81 : x
  2. Step 2: Convert to fraction form
    32,151.94/50,285.81 = 50,285.81/x
  3. Step 3: Cross multiply
    32,151.94x = 50,285.81 × 50,285.81
  4. Step 4: Simplify right side
    32,151.94x = 2,528,662,938.79
  5. Step 5: Solve for x
    x = 2,528,662,938.79/32,151.94
  6. Step 6: Final answer
    x = 78,647.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.