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Finding the Third Proportional to 36,340 and 56,288

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Solution

The third proportional to 36,340 and 56,288 is: 87,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,340 : 56,288 = 56,288 : x
  2. Step 2: Convert to fraction form
    36,340/56,288 = 56,288/x
  3. Step 3: Cross multiply
    36,340x = 56,288 × 56,288
  4. Step 4: Simplify right side
    36,340x = 3,168,338,944
  5. Step 5: Solve for x
    x = 3,168,338,944/36,340
  6. Step 6: Final answer
    x = 87,185.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.