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Finding the Third Proportional to 24,185 and 37,372

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Solution

The third proportional to 24,185 and 37,372 is: 57,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,185 : 37,372 = 37,372 : x
  2. Step 2: Convert to fraction form
    24,185/37,372 = 37,372/x
  3. Step 3: Cross multiply
    24,185x = 37,372 × 37,372
  4. Step 4: Simplify right side
    24,185x = 1,396,666,384
  5. Step 5: Solve for x
    x = 1,396,666,384/24,185
  6. Step 6: Final answer
    x = 57,749.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.