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Finding the Third Proportional to 25,438 and 54,522

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Solution

The third proportional to 25,438 and 54,522 is: 116,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438 : 54,522 = 54,522 : x
  2. Step 2: Convert to fraction form
    25,438/54,522 = 54,522/x
  3. Step 3: Cross multiply
    25,438x = 54,522 × 54,522
  4. Step 4: Simplify right side
    25,438x = 2,972,648,484
  5. Step 5: Solve for x
    x = 2,972,648,484/25,438
  6. Step 6: Final answer
    x = 116,858.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.