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Finding the Third Proportional to 31,082.91 and 66,528.56

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Solution

The third proportional to 31,082.91 and 66,528.56 is: 142,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.91 : 66,528.56 = 66,528.56 : x
  2. Step 2: Convert to fraction form
    31,082.91/66,528.56 = 66,528.56/x
  3. Step 3: Cross multiply
    31,082.91x = 66,528.56 × 66,528.56
  4. Step 4: Simplify right side
    31,082.91x = 4,426,049,628.32
  5. Step 5: Solve for x
    x = 4,426,049,628.32/31,082.91
  6. Step 6: Final answer
    x = 142,394.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.