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Finding the Third Proportional to 38,517 and 59,177.25

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Solution

The third proportional to 38,517 and 59,177.25 is: 90,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517 : 59,177.25 = 59,177.25 : x
  2. Step 2: Convert to fraction form
    38,517/59,177.25 = 59,177.25/x
  3. Step 3: Cross multiply
    38,517x = 59,177.25 × 59,177.25
  4. Step 4: Simplify right side
    38,517x = 3,501,946,917.56
  5. Step 5: Solve for x
    x = 3,501,946,917.56/38,517
  6. Step 6: Final answer
    x = 90,919.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.