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Finding the Third Proportional to 7,956.50 and 15,712.25

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Solution

The third proportional to 7,956.50 and 15,712.25 is: 31,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.50 : 15,712.25 = 15,712.25 : x
  2. Step 2: Convert to fraction form
    7,956.50/15,712.25 = 15,712.25/x
  3. Step 3: Cross multiply
    7,956.50x = 15,712.25 × 15,712.25
  4. Step 4: Simplify right side
    7,956.50x = 246,874,800.06
  5. Step 5: Solve for x
    x = 246,874,800.06/7,956.50
  6. Step 6: Final answer
    x = 31,028.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.