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Finding the Third Proportional to 28,406 and 62,522

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Solution

The third proportional to 28,406 and 62,522 is: 137,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,406 : 62,522 = 62,522 : x
  2. Step 2: Convert to fraction form
    28,406/62,522 = 62,522/x
  3. Step 3: Cross multiply
    28,406x = 62,522 × 62,522
  4. Step 4: Simplify right side
    28,406x = 3,909,000,484
  5. Step 5: Solve for x
    x = 3,909,000,484/28,406
  6. Step 6: Final answer
    x = 137,611.79

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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.