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Finding the Third Proportional to 6,797 and 9,147.50

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Solution

The third proportional to 6,797 and 9,147.50 is: 12,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797 : 9,147.50 = 9,147.50 : x
  2. Step 2: Convert to fraction form
    6,797/9,147.50 = 9,147.50/x
  3. Step 3: Cross multiply
    6,797x = 9,147.50 × 9,147.50
  4. Step 4: Simplify right side
    6,797x = 83,676,756.25
  5. Step 5: Solve for x
    x = 83,676,756.25/6,797
  6. Step 6: Final answer
    x = 12,310.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.