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Finding the Third Proportional to 36,788 and 56,368

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Solution

The third proportional to 36,788 and 56,368 is: 86,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,788 : 56,368 = 56,368 : x
  2. Step 2: Convert to fraction form
    36,788/56,368 = 56,368/x
  3. Step 3: Cross multiply
    36,788x = 56,368 × 56,368
  4. Step 4: Simplify right side
    36,788x = 3,177,351,424
  5. Step 5: Solve for x
    x = 3,177,351,424/36,788
  6. Step 6: Final answer
    x = 86,369.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.