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Finding the Third Proportional to 32,440.08 and 69,730.03

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Solution

The third proportional to 32,440.08 and 69,730.03 is: 149,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440.08 : 69,730.03 = 69,730.03 : x
  2. Step 2: Convert to fraction form
    32,440.08/69,730.03 = 69,730.03/x
  3. Step 3: Cross multiply
    32,440.08x = 69,730.03 × 69,730.03
  4. Step 4: Simplify right side
    32,440.08x = 4,862,277,258.13
  5. Step 5: Solve for x
    x = 4,862,277,258.13/32,440.08
  6. Step 6: Final answer
    x = 149,884.88

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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.