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Finding the Third Proportional to 31,313.25 and 65,907

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Solution

The third proportional to 31,313.25 and 65,907 is: 138,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313.25 : 65,907 = 65,907 : x
  2. Step 2: Convert to fraction form
    31,313.25/65,907 = 65,907/x
  3. Step 3: Cross multiply
    31,313.25x = 65,907 × 65,907
  4. Step 4: Simplify right side
    31,313.25x = 4,343,732,649
  5. Step 5: Solve for x
    x = 4,343,732,649/31,313.25
  6. Step 6: Final answer
    x = 138,718.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.