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Finding the Third Proportional to 36,607 and 54,907

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Solution

The third proportional to 36,607 and 54,907 is: 82,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,607 : 54,907 = 54,907 : x
  2. Step 2: Convert to fraction form
    36,607/54,907 = 54,907/x
  3. Step 3: Cross multiply
    36,607x = 54,907 × 54,907
  4. Step 4: Simplify right side
    36,607x = 3,014,778,649
  5. Step 5: Solve for x
    x = 3,014,778,649/36,607
  6. Step 6: Final answer
    x = 82,355.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.