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Finding the Third Proportional to 36,990 and 56,412

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Solution

The third proportional to 36,990 and 56,412 is: 86,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,990 : 56,412 = 56,412 : x
  2. Step 2: Convert to fraction form
    36,990/56,412 = 56,412/x
  3. Step 3: Cross multiply
    36,990x = 56,412 × 56,412
  4. Step 4: Simplify right side
    36,990x = 3,182,313,744
  5. Step 5: Solve for x
    x = 3,182,313,744/36,990
  6. Step 6: Final answer
    x = 86,031.73

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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.