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Finding the Third Proportional to 22,983 and 36,875

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Solution

The third proportional to 22,983 and 36,875 is: 59,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983 : 36,875 = 36,875 : x
  2. Step 2: Convert to fraction form
    22,983/36,875 = 36,875/x
  3. Step 3: Cross multiply
    22,983x = 36,875 × 36,875
  4. Step 4: Simplify right side
    22,983x = 1,359,765,625
  5. Step 5: Solve for x
    x = 1,359,765,625/22,983
  6. Step 6: Final answer
    x = 59,163.97

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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.