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Finding the Third Proportional to 27,672.25 and 38,830

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Solution

The third proportional to 27,672.25 and 38,830 is: 54,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.25 : 38,830 = 38,830 : x
  2. Step 2: Convert to fraction form
    27,672.25/38,830 = 38,830/x
  3. Step 3: Cross multiply
    27,672.25x = 38,830 × 38,830
  4. Step 4: Simplify right side
    27,672.25x = 1,507,768,900
  5. Step 5: Solve for x
    x = 1,507,768,900/27,672.25
  6. Step 6: Final answer
    x = 54,486.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.