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Finding the Third Proportional to 23,972 and 36,800

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Solution

The third proportional to 23,972 and 36,800 is: 56,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972 : 36,800 = 36,800 : x
  2. Step 2: Convert to fraction form
    23,972/36,800 = 36,800/x
  3. Step 3: Cross multiply
    23,972x = 36,800 × 36,800
  4. Step 4: Simplify right side
    23,972x = 1,354,240,000
  5. Step 5: Solve for x
    x = 1,354,240,000/23,972
  6. Step 6: Final answer
    x = 56,492.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.