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Finding the Third Proportional to 23,710 and 36,591

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Solution

The third proportional to 23,710 and 36,591 is: 56,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710 : 36,591 = 36,591 : x
  2. Step 2: Convert to fraction form
    23,710/36,591 = 36,591/x
  3. Step 3: Cross multiply
    23,710x = 36,591 × 36,591
  4. Step 4: Simplify right side
    23,710x = 1,338,901,281
  5. Step 5: Solve for x
    x = 1,338,901,281/23,710
  6. Step 6: Final answer
    x = 56,469.90

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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.