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Finding the Third Proportional to 23,500 and 36,370

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Solution

The third proportional to 23,500 and 36,370 is: 56,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500 : 36,370 = 36,370 : x
  2. Step 2: Convert to fraction form
    23,500/36,370 = 36,370/x
  3. Step 3: Cross multiply
    23,500x = 36,370 × 36,370
  4. Step 4: Simplify right side
    23,500x = 1,322,776,900
  5. Step 5: Solve for x
    x = 1,322,776,900/23,500
  6. Step 6: Final answer
    x = 56,288.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.