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Finding the Third Proportional to 27,990 and 37,350

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Solution

The third proportional to 27,990 and 37,350 is: 49,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,990 : 37,350 = 37,350 : x
  2. Step 2: Convert to fraction form
    27,990/37,350 = 37,350/x
  3. Step 3: Cross multiply
    27,990x = 37,350 × 37,350
  4. Step 4: Simplify right side
    27,990x = 1,395,022,500
  5. Step 5: Solve for x
    x = 1,395,022,500/27,990
  6. Step 6: Final answer
    x = 49,840.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.