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Finding the Third Proportional to 38,454.75 and 59,028.75

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Solution

The third proportional to 38,454.75 and 59,028.75 is: 90,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454.75 : 59,028.75 = 59,028.75 : x
  2. Step 2: Convert to fraction form
    38,454.75/59,028.75 = 59,028.75/x
  3. Step 3: Cross multiply
    38,454.75x = 59,028.75 × 59,028.75
  4. Step 4: Simplify right side
    38,454.75x = 3,484,393,326.56
  5. Step 5: Solve for x
    x = 3,484,393,326.56/38,454.75
  6. Step 6: Final answer
    x = 90,610.22

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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.