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Finding the Third Proportional to 27,189.07 and 36,530.80

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Solution

The third proportional to 27,189.07 and 36,530.80 is: 49,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189.07 : 36,530.80 = 36,530.80 : x
  2. Step 2: Convert to fraction form
    27,189.07/36,530.80 = 36,530.80/x
  3. Step 3: Cross multiply
    27,189.07x = 36,530.80 × 36,530.80
  4. Step 4: Simplify right side
    27,189.07x = 1,334,499,512.74
  5. Step 5: Solve for x
    x = 1,334,499,512.74/27,189.07
  6. Step 6: Final answer
    x = 49,082.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.