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Finding the Third Proportional to 3,580 and 5,698

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Solution

The third proportional to 3,580 and 5,698 is: 9,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 5,698 = 5,698 : x
  2. Step 2: Convert to fraction form
    3,580/5,698 = 5,698/x
  3. Step 3: Cross multiply
    3,580x = 5,698 × 5,698
  4. Step 4: Simplify right side
    3,580x = 32,467,204
  5. Step 5: Solve for x
    x = 32,467,204/3,580
  6. Step 6: Final answer
    x = 9,069.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.