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Finding the Third Proportional to 24,261 and 38,733

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Solution

The third proportional to 24,261 and 38,733 is: 61,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,261 : 38,733 = 38,733 : x
  2. Step 2: Convert to fraction form
    24,261/38,733 = 38,733/x
  3. Step 3: Cross multiply
    24,261x = 38,733 × 38,733
  4. Step 4: Simplify right side
    24,261x = 1,500,245,289
  5. Step 5: Solve for x
    x = 1,500,245,289/24,261
  6. Step 6: Final answer
    x = 61,837.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.