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Finding the Third Proportional to 3,505 and 8,114.50

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Solution

The third proportional to 3,505 and 8,114.50 is: 18,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505 : 8,114.50 = 8,114.50 : x
  2. Step 2: Convert to fraction form
    3,505/8,114.50 = 8,114.50/x
  3. Step 3: Cross multiply
    3,505x = 8,114.50 × 8,114.50
  4. Step 4: Simplify right side
    3,505x = 65,845,110.25
  5. Step 5: Solve for x
    x = 65,845,110.25/3,505
  6. Step 6: Final answer
    x = 18,786.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.