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Finding the Third Proportional to 32,025.94 and 45,621.56

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Solution

The third proportional to 32,025.94 and 45,621.56 is: 64,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,025.94 : 45,621.56 = 45,621.56 : x
  2. Step 2: Convert to fraction form
    32,025.94/45,621.56 = 45,621.56/x
  3. Step 3: Cross multiply
    32,025.94x = 45,621.56 × 45,621.56
  4. Step 4: Simplify right side
    32,025.94x = 2,081,326,964.94
  5. Step 5: Solve for x
    x = 2,081,326,964.94/32,025.94
  6. Step 6: Final answer
    x = 64,988.79

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.