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Finding the Third Proportional to 5,692 and 10,580

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Solution

The third proportional to 5,692 and 10,580 is: 19,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692 : 10,580 = 10,580 : x
  2. Step 2: Convert to fraction form
    5,692/10,580 = 10,580/x
  3. Step 3: Cross multiply
    5,692x = 10,580 × 10,580
  4. Step 4: Simplify right side
    5,692x = 111,936,400
  5. Step 5: Solve for x
    x = 111,936,400/5,692
  6. Step 6: Final answer
    x = 19,665.57

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.