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Finding the Third Proportional to 24,933 and 38,321

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Solution

The third proportional to 24,933 and 38,321 is: 58,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,933 : 38,321 = 38,321 : x
  2. Step 2: Convert to fraction form
    24,933/38,321 = 38,321/x
  3. Step 3: Cross multiply
    24,933x = 38,321 × 38,321
  4. Step 4: Simplify right side
    24,933x = 1,468,499,041
  5. Step 5: Solve for x
    x = 1,468,499,041/24,933
  6. Step 6: Final answer
    x = 58,897.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.