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Finding the Third Proportional to 8,015.63 and 16,795.69

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Solution

The third proportional to 8,015.63 and 16,795.69 is: 35,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.63 : 16,795.69 = 16,795.69 : x
  2. Step 2: Convert to fraction form
    8,015.63/16,795.69 = 16,795.69/x
  3. Step 3: Cross multiply
    8,015.63x = 16,795.69 × 16,795.69
  4. Step 4: Simplify right side
    8,015.63x = 282,095,118.60
  5. Step 5: Solve for x
    x = 282,095,118.60/8,015.63
  6. Step 6: Final answer
    x = 35,193.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.