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Finding the Third Proportional to 11,110.50 and 24,065.44

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Solution

The third proportional to 11,110.50 and 24,065.44 is: 52,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,110.50 : 24,065.44 = 24,065.44 : x
  2. Step 2: Convert to fraction form
    11,110.50/24,065.44 = 24,065.44/x
  3. Step 3: Cross multiply
    11,110.50x = 24,065.44 × 24,065.44
  4. Step 4: Simplify right side
    11,110.50x = 579,145,282.07
  5. Step 5: Solve for x
    x = 579,145,282.07/11,110.50
  6. Step 6: Final answer
    x = 52,125.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.