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Finding the Third Proportional to 25,422 and 55,080

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Solution

The third proportional to 25,422 and 55,080 is: 119,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422 : 55,080 = 55,080 : x
  2. Step 2: Convert to fraction form
    25,422/55,080 = 55,080/x
  3. Step 3: Cross multiply
    25,422x = 55,080 × 55,080
  4. Step 4: Simplify right side
    25,422x = 3,033,806,400
  5. Step 5: Solve for x
    x = 3,033,806,400/25,422
  6. Step 6: Final answer
    x = 119,337.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.