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Finding the Third Proportional to 3,271.88 and 5,056.88

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Solution

The third proportional to 3,271.88 and 5,056.88 is: 7,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.88 : 5,056.88 = 5,056.88 : x
  2. Step 2: Convert to fraction form
    3,271.88/5,056.88 = 5,056.88/x
  3. Step 3: Cross multiply
    3,271.88x = 5,056.88 × 5,056.88
  4. Step 4: Simplify right side
    3,271.88x = 25,571,984.77
  5. Step 5: Solve for x
    x = 25,571,984.77/3,271.88
  6. Step 6: Final answer
    x = 7,815.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.