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Finding the Third Proportional to 14,751 and 35,650.50

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Solution

The third proportional to 14,751 and 35,650.50 is: 86,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751 : 35,650.50 = 35,650.50 : x
  2. Step 2: Convert to fraction form
    14,751/35,650.50 = 35,650.50/x
  3. Step 3: Cross multiply
    14,751x = 35,650.50 × 35,650.50
  4. Step 4: Simplify right side
    14,751x = 1,270,958,150.25
  5. Step 5: Solve for x
    x = 1,270,958,150.25/14,751
  6. Step 6: Final answer
    x = 86,160.81

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.