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Finding the Third Proportional to 11,215.50 and 23,592.75

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Solution

The third proportional to 11,215.50 and 23,592.75 is: 49,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.50 : 23,592.75 = 23,592.75 : x
  2. Step 2: Convert to fraction form
    11,215.50/23,592.75 = 23,592.75/x
  3. Step 3: Cross multiply
    11,215.50x = 23,592.75 × 23,592.75
  4. Step 4: Simplify right side
    11,215.50x = 556,617,852.56
  5. Step 5: Solve for x
    x = 556,617,852.56/11,215.50
  6. Step 6: Final answer
    x = 49,629.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.