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Finding the Third Proportional to 32,475.52 and 69,785.72

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Solution

The third proportional to 32,475.52 and 69,785.72 is: 149,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.52 : 69,785.72 = 69,785.72 : x
  2. Step 2: Convert to fraction form
    32,475.52/69,785.72 = 69,785.72/x
  3. Step 3: Cross multiply
    32,475.52x = 69,785.72 × 69,785.72
  4. Step 4: Simplify right side
    32,475.52x = 4,870,046,541.45
  5. Step 5: Solve for x
    x = 4,870,046,541.45/32,475.52
  6. Step 6: Final answer
    x = 149,960.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.