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Finding the Third Proportional to 31,884.89 and 69,510.02

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Solution

The third proportional to 31,884.89 and 69,510.02 is: 151,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.89 : 69,510.02 = 69,510.02 : x
  2. Step 2: Convert to fraction form
    31,884.89/69,510.02 = 69,510.02/x
  3. Step 3: Cross multiply
    31,884.89x = 69,510.02 × 69,510.02
  4. Step 4: Simplify right side
    31,884.89x = 4,831,643,358.28
  5. Step 5: Solve for x
    x = 4,831,643,358.28/31,884.89
  6. Step 6: Final answer
    x = 151,533.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.