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Finding the Third Proportional to 23,118 and 36,791

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Solution

The third proportional to 23,118 and 36,791 is: 58,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118 : 36,791 = 36,791 : x
  2. Step 2: Convert to fraction form
    23,118/36,791 = 36,791/x
  3. Step 3: Cross multiply
    23,118x = 36,791 × 36,791
  4. Step 4: Simplify right side
    23,118x = 1,353,577,681
  5. Step 5: Solve for x
    x = 1,353,577,681/23,118
  6. Step 6: Final answer
    x = 58,550.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.