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Finding the Third Proportional to 11,085.75 and 24,017.63

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Solution

The third proportional to 11,085.75 and 24,017.63 is: 52,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.75 : 24,017.63 = 24,017.63 : x
  2. Step 2: Convert to fraction form
    11,085.75/24,017.63 = 24,017.63/x
  3. Step 3: Cross multiply
    11,085.75x = 24,017.63 × 24,017.63
  4. Step 4: Simplify right side
    11,085.75x = 576,846,310.64
  5. Step 5: Solve for x
    x = 576,846,310.64/11,085.75
  6. Step 6: Final answer
    x = 52,034.94

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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.