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Finding the Third Proportional to 25,013 and 55,098

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Solution

The third proportional to 25,013 and 55,098 is: 121,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,013 : 55,098 = 55,098 : x
  2. Step 2: Convert to fraction form
    25,013/55,098 = 55,098/x
  3. Step 3: Cross multiply
    25,013x = 55,098 × 55,098
  4. Step 4: Simplify right side
    25,013x = 3,035,789,604
  5. Step 5: Solve for x
    x = 3,035,789,604/25,013
  6. Step 6: Final answer
    x = 121,368.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.