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Finding the Third Proportional to 3,502 and 5,815

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Solution

The third proportional to 3,502 and 5,815 is: 9,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502 : 5,815 = 5,815 : x
  2. Step 2: Convert to fraction form
    3,502/5,815 = 5,815/x
  3. Step 3: Cross multiply
    3,502x = 5,815 × 5,815
  4. Step 4: Simplify right side
    3,502x = 33,814,225
  5. Step 5: Solve for x
    x = 33,814,225/3,502
  6. Step 6: Final answer
    x = 9,655.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.