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Finding the Third Proportional to 4,035 and 8,578.50

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Solution

The third proportional to 4,035 and 8,578.50 is: 18,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,035 : 8,578.50 = 8,578.50 : x
  2. Step 2: Convert to fraction form
    4,035/8,578.50 = 8,578.50/x
  3. Step 3: Cross multiply
    4,035x = 8,578.50 × 8,578.50
  4. Step 4: Simplify right side
    4,035x = 73,590,662.25
  5. Step 5: Solve for x
    x = 73,590,662.25/4,035
  6. Step 6: Final answer
    x = 18,238.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.