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Finding the Third Proportional to 18,131.34 and 27,718.03

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Solution

The third proportional to 18,131.34 and 27,718.03 is: 42,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.34 : 27,718.03 = 27,718.03 : x
  2. Step 2: Convert to fraction form
    18,131.34/27,718.03 = 27,718.03/x
  3. Step 3: Cross multiply
    18,131.34x = 27,718.03 × 27,718.03
  4. Step 4: Simplify right side
    18,131.34x = 768,289,256.38
  5. Step 5: Solve for x
    x = 768,289,256.38/18,131.34
  6. Step 6: Final answer
    x = 42,373.54

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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.