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Finding the Third Proportional to 36,977 and 56,894

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Solution

The third proportional to 36,977 and 56,894 is: 87,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977 : 56,894 = 56,894 : x
  2. Step 2: Convert to fraction form
    36,977/56,894 = 56,894/x
  3. Step 3: Cross multiply
    36,977x = 56,894 × 56,894
  4. Step 4: Simplify right side
    36,977x = 3,236,927,236
  5. Step 5: Solve for x
    x = 3,236,927,236/36,977
  6. Step 6: Final answer
    x = 87,538.94

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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.