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Finding the Third Proportional to 31,254.75 and 65,100.38

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Solution

The third proportional to 31,254.75 and 65,100.38 is: 135,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254.75 : 65,100.38 = 65,100.38 : x
  2. Step 2: Convert to fraction form
    31,254.75/65,100.38 = 65,100.38/x
  3. Step 3: Cross multiply
    31,254.75x = 65,100.38 × 65,100.38
  4. Step 4: Simplify right side
    31,254.75x = 4,238,058,825.14
  5. Step 5: Solve for x
    x = 4,238,058,825.14/31,254.75
  6. Step 6: Final answer
    x = 135,597.27

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.