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Finding the Third Proportional to 18,580 and 38,462

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Solution

The third proportional to 18,580 and 38,462 is: 79,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580 : 38,462 = 38,462 : x
  2. Step 2: Convert to fraction form
    18,580/38,462 = 38,462/x
  3. Step 3: Cross multiply
    18,580x = 38,462 × 38,462
  4. Step 4: Simplify right side
    18,580x = 1,479,325,444
  5. Step 5: Solve for x
    x = 1,479,325,444/18,580
  6. Step 6: Final answer
    x = 79,619.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.