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Finding the Third Proportional to 5,191.31 and 6,102.56

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Solution

The third proportional to 5,191.31 and 6,102.56 is: 7,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.31 : 6,102.56 = 6,102.56 : x
  2. Step 2: Convert to fraction form
    5,191.31/6,102.56 = 6,102.56/x
  3. Step 3: Cross multiply
    5,191.31x = 6,102.56 × 6,102.56
  4. Step 4: Simplify right side
    5,191.31x = 37,241,269.07
  5. Step 5: Solve for x
    x = 37,241,269.07/5,191.31
  6. Step 6: Final answer
    x = 7,173.77

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.