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Finding the Third Proportional to 36,894 and 56,973

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Solution

The third proportional to 36,894 and 56,973 is: 87,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,894 : 56,973 = 56,973 : x
  2. Step 2: Convert to fraction form
    36,894/56,973 = 56,973/x
  3. Step 3: Cross multiply
    36,894x = 56,973 × 56,973
  4. Step 4: Simplify right side
    36,894x = 3,245,922,729
  5. Step 5: Solve for x
    x = 3,245,922,729/36,894
  6. Step 6: Final answer
    x = 87,979.69

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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.