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Finding the Third Proportional to 31,600.13 and 67,096.13

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Solution

The third proportional to 31,600.13 and 67,096.13 is: 142,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.13 : 67,096.13 = 67,096.13 : x
  2. Step 2: Convert to fraction form
    31,600.13/67,096.13 = 67,096.13/x
  3. Step 3: Cross multiply
    31,600.13x = 67,096.13 × 67,096.13
  4. Step 4: Simplify right side
    31,600.13x = 4,501,889,990.02
  5. Step 5: Solve for x
    x = 4,501,889,990.02/31,600.13
  6. Step 6: Final answer
    x = 142,464.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.