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Finding the Third Proportional to 6,173 and 8,207.50

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Solution

The third proportional to 6,173 and 8,207.50 is: 10,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173 : 8,207.50 = 8,207.50 : x
  2. Step 2: Convert to fraction form
    6,173/8,207.50 = 8,207.50/x
  3. Step 3: Cross multiply
    6,173x = 8,207.50 × 8,207.50
  4. Step 4: Simplify right side
    6,173x = 67,363,056.25
  5. Step 5: Solve for x
    x = 67,363,056.25/6,173
  6. Step 6: Final answer
    x = 10,912.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.