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Finding the Third Proportional to 32,960.81 and 68,258.06

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Solution

The third proportional to 32,960.81 and 68,258.06 is: 141,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.81 : 68,258.06 = 68,258.06 : x
  2. Step 2: Convert to fraction form
    32,960.81/68,258.06 = 68,258.06/x
  3. Step 3: Cross multiply
    32,960.81x = 68,258.06 × 68,258.06
  4. Step 4: Simplify right side
    32,960.81x = 4,659,163,096.25
  5. Step 5: Solve for x
    x = 4,659,163,096.25/32,960.81
  6. Step 6: Final answer
    x = 141,354.62

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.