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Finding the Third Proportional to 36,981 and 56,392.88

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Solution

The third proportional to 36,981 and 56,392.88 is: 85,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,981 : 56,392.88 = 56,392.88 : x
  2. Step 2: Convert to fraction form
    36,981/56,392.88 = 56,392.88/x
  3. Step 3: Cross multiply
    36,981x = 56,392.88 × 56,392.88
  4. Step 4: Simplify right side
    36,981x = 3,180,156,350.77
  5. Step 5: Solve for x
    x = 3,180,156,350.77/36,981
  6. Step 6: Final answer
    x = 85,994.33

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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.