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Finding the Third Proportional to 38,587.50 and 51,212.25

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Solution

The third proportional to 38,587.50 and 51,212.25 is: 67,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,587.50 : 51,212.25 = 51,212.25 : x
  2. Step 2: Convert to fraction form
    38,587.50/51,212.25 = 51,212.25/x
  3. Step 3: Cross multiply
    38,587.50x = 51,212.25 × 51,212.25
  4. Step 4: Simplify right side
    38,587.50x = 2,622,694,550.06
  5. Step 5: Solve for x
    x = 2,622,694,550.06/38,587.50
  6. Step 6: Final answer
    x = 67,967.46

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.