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Finding the Third Proportional to 4,658.77 and 10,086.40

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Solution

The third proportional to 4,658.77 and 10,086.40 is: 21,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.77 : 10,086.40 = 10,086.40 : x
  2. Step 2: Convert to fraction form
    4,658.77/10,086.40 = 10,086.40/x
  3. Step 3: Cross multiply
    4,658.77x = 10,086.40 × 10,086.40
  4. Step 4: Simplify right side
    4,658.77x = 101,735,433.44
  5. Step 5: Solve for x
    x = 101,735,433.44/4,658.77
  6. Step 6: Final answer
    x = 21,837.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.