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Finding the Third Proportional to 25,397 and 54,574

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Solution

The third proportional to 25,397 and 54,574 is: 117,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397 : 54,574 = 54,574 : x
  2. Step 2: Convert to fraction form
    25,397/54,574 = 54,574/x
  3. Step 3: Cross multiply
    25,397x = 54,574 × 54,574
  4. Step 4: Simplify right side
    25,397x = 2,978,321,476
  5. Step 5: Solve for x
    x = 2,978,321,476/25,397
  6. Step 6: Final answer
    x = 117,270.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.