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Finding the Third Proportional to 3,214 and 5,093.50

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Solution

The third proportional to 3,214 and 5,093.50 is: 8,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214 : 5,093.50 = 5,093.50 : x
  2. Step 2: Convert to fraction form
    3,214/5,093.50 = 5,093.50/x
  3. Step 3: Cross multiply
    3,214x = 5,093.50 × 5,093.50
  4. Step 4: Simplify right side
    3,214x = 25,943,742.25
  5. Step 5: Solve for x
    x = 25,943,742.25/3,214
  6. Step 6: Final answer
    x = 8,072.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.