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Finding the Third Proportional to 24,372 and 38,190

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Solution

The third proportional to 24,372 and 38,190 is: 59,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372 : 38,190 = 38,190 : x
  2. Step 2: Convert to fraction form
    24,372/38,190 = 38,190/x
  3. Step 3: Cross multiply
    24,372x = 38,190 × 38,190
  4. Step 4: Simplify right side
    24,372x = 1,458,476,100
  5. Step 5: Solve for x
    x = 1,458,476,100/24,372
  6. Step 6: Final answer
    x = 59,842.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.