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Finding the Third Proportional to 11,221.75 and 16,615.75

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Solution

The third proportional to 11,221.75 and 16,615.75 is: 24,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.75 : 16,615.75 = 16,615.75 : x
  2. Step 2: Convert to fraction form
    11,221.75/16,615.75 = 16,615.75/x
  3. Step 3: Cross multiply
    11,221.75x = 16,615.75 × 16,615.75
  4. Step 4: Simplify right side
    11,221.75x = 276,083,148.06
  5. Step 5: Solve for x
    x = 276,083,148.06/11,221.75
  6. Step 6: Final answer
    x = 24,602.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.