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Finding the Third Proportional to 2,669 and 4,095.50

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Solution

The third proportional to 2,669 and 4,095.50 is: 6,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669 : 4,095.50 = 4,095.50 : x
  2. Step 2: Convert to fraction form
    2,669/4,095.50 = 4,095.50/x
  3. Step 3: Cross multiply
    2,669x = 4,095.50 × 4,095.50
  4. Step 4: Simplify right side
    2,669x = 16,773,120.25
  5. Step 5: Solve for x
    x = 16,773,120.25/2,669
  6. Step 6: Final answer
    x = 6,284.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.