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Finding the Third Proportional to 49,724 and 69,522

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Solution

The third proportional to 49,724 and 69,522 is: 97,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,724 : 69,522 = 69,522 : x
  2. Step 2: Convert to fraction form
    49,724/69,522 = 69,522/x
  3. Step 3: Cross multiply
    49,724x = 69,522 × 69,522
  4. Step 4: Simplify right side
    49,724x = 4,833,308,484
  5. Step 5: Solve for x
    x = 4,833,308,484/49,724
  6. Step 6: Final answer
    x = 97,202.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.