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Finding the Third Proportional to 5,032 and 6,616

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Solution

The third proportional to 5,032 and 6,616 is: 8,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032 : 6,616 = 6,616 : x
  2. Step 2: Convert to fraction form
    5,032/6,616 = 6,616/x
  3. Step 3: Cross multiply
    5,032x = 6,616 × 6,616
  4. Step 4: Simplify right side
    5,032x = 43,771,456
  5. Step 5: Solve for x
    x = 43,771,456/5,032
  6. Step 6: Final answer
    x = 8,698.62

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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.