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Finding the Third Proportional to 38,005.25 and 59,617.75

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Solution

The third proportional to 38,005.25 and 59,617.75 is: 93,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.25 : 59,617.75 = 59,617.75 : x
  2. Step 2: Convert to fraction form
    38,005.25/59,617.75 = 59,617.75/x
  3. Step 3: Cross multiply
    38,005.25x = 59,617.75 × 59,617.75
  4. Step 4: Simplify right side
    38,005.25x = 3,554,276,115.06
  5. Step 5: Solve for x
    x = 3,554,276,115.06/38,005.25
  6. Step 6: Final answer
    x = 93,520.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.