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Finding the Third Proportional to 6,245 and 8,374.50

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Solution

The third proportional to 6,245 and 8,374.50 is: 11,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245 : 8,374.50 = 8,374.50 : x
  2. Step 2: Convert to fraction form
    6,245/8,374.50 = 8,374.50/x
  3. Step 3: Cross multiply
    6,245x = 8,374.50 × 8,374.50
  4. Step 4: Simplify right side
    6,245x = 70,132,250.25
  5. Step 5: Solve for x
    x = 70,132,250.25/6,245
  6. Step 6: Final answer
    x = 11,230.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.