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Finding the Third Proportional to 11,444.73 and 24,615.14

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Solution

The third proportional to 11,444.73 and 24,615.14 is: 52,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.73 : 24,615.14 = 24,615.14 : x
  2. Step 2: Convert to fraction form
    11,444.73/24,615.14 = 24,615.14/x
  3. Step 3: Cross multiply
    11,444.73x = 24,615.14 × 24,615.14
  4. Step 4: Simplify right side
    11,444.73x = 605,905,147.99
  5. Step 5: Solve for x
    x = 605,905,147.99/11,444.73
  6. Step 6: Final answer
    x = 52,941.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.