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Finding the Third Proportional to 31,659.56 and 50,132.06

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Solution

The third proportional to 31,659.56 and 50,132.06 is: 79,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,659.56 : 50,132.06 = 50,132.06 : x
  2. Step 2: Convert to fraction form
    31,659.56/50,132.06 = 50,132.06/x
  3. Step 3: Cross multiply
    31,659.56x = 50,132.06 × 50,132.06
  4. Step 4: Simplify right side
    31,659.56x = 2,513,223,690.50
  5. Step 5: Solve for x
    x = 2,513,223,690.50/31,659.56
  6. Step 6: Final answer
    x = 79,382.77

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.