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Finding the Third Proportional to 49,770 and 65,907

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Solution

The third proportional to 49,770 and 65,907 is: 87,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,770 : 65,907 = 65,907 : x
  2. Step 2: Convert to fraction form
    49,770/65,907 = 65,907/x
  3. Step 3: Cross multiply
    49,770x = 65,907 × 65,907
  4. Step 4: Simplify right side
    49,770x = 4,343,732,649
  5. Step 5: Solve for x
    x = 4,343,732,649/49,770
  6. Step 6: Final answer
    x = 87,276.12

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.