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Finding the Third Proportional to 15,724.76 and 32,508.84

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Solution

The third proportional to 15,724.76 and 32,508.84 is: 67,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.76 : 32,508.84 = 32,508.84 : x
  2. Step 2: Convert to fraction form
    15,724.76/32,508.84 = 32,508.84/x
  3. Step 3: Cross multiply
    15,724.76x = 32,508.84 × 32,508.84
  4. Step 4: Simplify right side
    15,724.76x = 1,056,824,921.96
  5. Step 5: Solve for x
    x = 1,056,824,921.96/15,724.76
  6. Step 6: Final answer
    x = 67,207.71

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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.