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Finding the Third Proportional to 2,611.13 and 5,478.75

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Solution

The third proportional to 2,611.13 and 5,478.75 is: 11,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.13 : 5,478.75 = 5,478.75 : x
  2. Step 2: Convert to fraction form
    2,611.13/5,478.75 = 5,478.75/x
  3. Step 3: Cross multiply
    2,611.13x = 5,478.75 × 5,478.75
  4. Step 4: Simplify right side
    2,611.13x = 30,016,701.56
  5. Step 5: Solve for x
    x = 30,016,701.56/2,611.13
  6. Step 6: Final answer
    x = 11,495.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.