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Finding the Third Proportional to 36,519 and 56,391

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Solution

The third proportional to 36,519 and 56,391 is: 87,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,519 : 56,391 = 56,391 : x
  2. Step 2: Convert to fraction form
    36,519/56,391 = 56,391/x
  3. Step 3: Cross multiply
    36,519x = 56,391 × 56,391
  4. Step 4: Simplify right side
    36,519x = 3,179,944,881
  5. Step 5: Solve for x
    x = 3,179,944,881/36,519
  6. Step 6: Final answer
    x = 87,076.45

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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.