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Finding the Third Proportional to 11,078.50 and 23,917.63

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Solution

The third proportional to 11,078.50 and 23,917.63 is: 51,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.50 : 23,917.63 = 23,917.63 : x
  2. Step 2: Convert to fraction form
    11,078.50/23,917.63 = 23,917.63/x
  3. Step 3: Cross multiply
    11,078.50x = 23,917.63 × 23,917.63
  4. Step 4: Simplify right side
    11,078.50x = 572,052,785.64
  5. Step 5: Solve for x
    x = 572,052,785.64/11,078.50
  6. Step 6: Final answer
    x = 51,636.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.