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Finding the Third Proportional to 27,795.38 and 41,931

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Solution

The third proportional to 27,795.38 and 41,931 is: 63,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795.38 : 41,931 = 41,931 : x
  2. Step 2: Convert to fraction form
    27,795.38/41,931 = 41,931/x
  3. Step 3: Cross multiply
    27,795.38x = 41,931 × 41,931
  4. Step 4: Simplify right side
    27,795.38x = 1,758,208,761
  5. Step 5: Solve for x
    x = 1,758,208,761/27,795.38
  6. Step 6: Final answer
    x = 63,255.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.