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Finding the Third Proportional to 7,599.75 and 16,733.75

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Solution

The third proportional to 7,599.75 and 16,733.75 is: 36,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,599.75 : 16,733.75 = 16,733.75 : x
  2. Step 2: Convert to fraction form
    7,599.75/16,733.75 = 16,733.75/x
  3. Step 3: Cross multiply
    7,599.75x = 16,733.75 × 16,733.75
  4. Step 4: Simplify right side
    7,599.75x = 280,018,389.06
  5. Step 5: Solve for x
    x = 280,018,389.06/7,599.75
  6. Step 6: Final answer
    x = 36,845.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.