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Finding the Third Proportional to 8,580 and 19,850

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Solution

The third proportional to 8,580 and 19,850 is: 45,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 19,850 = 19,850 : x
  2. Step 2: Convert to fraction form
    8,580/19,850 = 19,850/x
  3. Step 3: Cross multiply
    8,580x = 19,850 × 19,850
  4. Step 4: Simplify right side
    8,580x = 394,022,500
  5. Step 5: Solve for x
    x = 394,022,500/8,580
  6. Step 6: Final answer
    x = 45,923.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.