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Finding the Third Proportional to 7,719.75 and 15,712.88

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Solution

The third proportional to 7,719.75 and 15,712.88 is: 31,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.75 : 15,712.88 = 15,712.88 : x
  2. Step 2: Convert to fraction form
    7,719.75/15,712.88 = 15,712.88/x
  3. Step 3: Cross multiply
    7,719.75x = 15,712.88 × 15,712.88
  4. Step 4: Simplify right side
    7,719.75x = 246,894,440.77
  5. Step 5: Solve for x
    x = 246,894,440.77/7,719.75
  6. Step 6: Final answer
    x = 31,982.18

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.