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Finding the Third Proportional to 26,398 and 38,733

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Solution

The third proportional to 26,398 and 38,733 is: 56,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,398 : 38,733 = 38,733 : x
  2. Step 2: Convert to fraction form
    26,398/38,733 = 38,733/x
  3. Step 3: Cross multiply
    26,398x = 38,733 × 38,733
  4. Step 4: Simplify right side
    26,398x = 1,500,245,289
  5. Step 5: Solve for x
    x = 1,500,245,289/26,398
  6. Step 6: Final answer
    x = 56,831.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.