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Finding the Third Proportional to 32,880.94 and 72,464.63

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Solution

The third proportional to 32,880.94 and 72,464.63 is: 159,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880.94 : 72,464.63 = 72,464.63 : x
  2. Step 2: Convert to fraction form
    32,880.94/72,464.63 = 72,464.63/x
  3. Step 3: Cross multiply
    32,880.94x = 72,464.63 × 72,464.63
  4. Step 4: Simplify right side
    32,880.94x = 5,251,121,876.39
  5. Step 5: Solve for x
    x = 5,251,121,876.39/32,880.94
  6. Step 6: Final answer
    x = 159,701.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.