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Finding the Third Proportional to 11,133.75 and 24,023.75

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Solution

The third proportional to 11,133.75 and 24,023.75 is: 51,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133.75 : 24,023.75 = 24,023.75 : x
  2. Step 2: Convert to fraction form
    11,133.75/24,023.75 = 24,023.75/x
  3. Step 3: Cross multiply
    11,133.75x = 24,023.75 × 24,023.75
  4. Step 4: Simplify right side
    11,133.75x = 577,140,564.06
  5. Step 5: Solve for x
    x = 577,140,564.06/11,133.75
  6. Step 6: Final answer
    x = 51,837.03

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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.