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Finding the Third Proportional to 5,193.75 and 6,165.75

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Solution

The third proportional to 5,193.75 and 6,165.75 is: 7,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.75 : 6,165.75 = 6,165.75 : x
  2. Step 2: Convert to fraction form
    5,193.75/6,165.75 = 6,165.75/x
  3. Step 3: Cross multiply
    5,193.75x = 6,165.75 × 6,165.75
  4. Step 4: Simplify right side
    5,193.75x = 38,016,473.06
  5. Step 5: Solve for x
    x = 38,016,473.06/5,193.75
  6. Step 6: Final answer
    x = 7,319.66

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.