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Finding the Third Proportional to 23,320 and 36,983

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Solution

The third proportional to 23,320 and 36,983 is: 58,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,320 : 36,983 = 36,983 : x
  2. Step 2: Convert to fraction form
    23,320/36,983 = 36,983/x
  3. Step 3: Cross multiply
    23,320x = 36,983 × 36,983
  4. Step 4: Simplify right side
    23,320x = 1,367,742,289
  5. Step 5: Solve for x
    x = 1,367,742,289/23,320
  6. Step 6: Final answer
    x = 58,651.04

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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.