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Finding the Third Proportional to 23,247 and 49,774.50

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Solution

The third proportional to 23,247 and 49,774.50 is: 106,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,247 : 49,774.50 = 49,774.50 : x
  2. Step 2: Convert to fraction form
    23,247/49,774.50 = 49,774.50/x
  3. Step 3: Cross multiply
    23,247x = 49,774.50 × 49,774.50
  4. Step 4: Simplify right side
    23,247x = 2,477,500,850.25
  5. Step 5: Solve for x
    x = 2,477,500,850.25/23,247
  6. Step 6: Final answer
    x = 106,572.93

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