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Finding the Third Proportional to 37,024 and 56,456

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Solution

The third proportional to 37,024 and 56,456 is: 86,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,024 : 56,456 = 56,456 : x
  2. Step 2: Convert to fraction form
    37,024/56,456 = 56,456/x
  3. Step 3: Cross multiply
    37,024x = 56,456 × 56,456
  4. Step 4: Simplify right side
    37,024x = 3,187,279,936
  5. Step 5: Solve for x
    x = 3,187,279,936/37,024
  6. Step 6: Final answer
    x = 86,086.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.