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Finding the Third Proportional to 11,059.25 and 23,414.50

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Solution

The third proportional to 11,059.25 and 23,414.50 is: 49,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.25 : 23,414.50 = 23,414.50 : x
  2. Step 2: Convert to fraction form
    11,059.25/23,414.50 = 23,414.50/x
  3. Step 3: Cross multiply
    11,059.25x = 23,414.50 × 23,414.50
  4. Step 4: Simplify right side
    11,059.25x = 548,238,810.25
  5. Step 5: Solve for x
    x = 548,238,810.25/11,059.25
  6. Step 6: Final answer
    x = 49,572.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.