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Finding the Third Proportional to 5,853 and 7,686

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Solution

The third proportional to 5,853 and 7,686 is: 10,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853 : 7,686 = 7,686 : x
  2. Step 2: Convert to fraction form
    5,853/7,686 = 7,686/x
  3. Step 3: Cross multiply
    5,853x = 7,686 × 7,686
  4. Step 4: Simplify right side
    5,853x = 59,074,596
  5. Step 5: Solve for x
    x = 59,074,596/5,853
  6. Step 6: Final answer
    x = 10,093.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.