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Finding the Third Proportional to 36,927 and 57,287.30

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Solution

The third proportional to 36,927 and 57,287.30 is: 88,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,927 : 57,287.30 = 57,287.30 : x
  2. Step 2: Convert to fraction form
    36,927/57,287.30 = 57,287.30/x
  3. Step 3: Cross multiply
    36,927x = 57,287.30 × 57,287.30
  4. Step 4: Simplify right side
    36,927x = 3,281,834,383.24
  5. Step 5: Solve for x
    x = 3,281,834,383.24/36,927
  6. Step 6: Final answer
    x = 88,873.57

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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.