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Finding the Third Proportional to 6,767 and 9,014.50

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Solution

The third proportional to 6,767 and 9,014.50 is: 12,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767 : 9,014.50 = 9,014.50 : x
  2. Step 2: Convert to fraction form
    6,767/9,014.50 = 9,014.50/x
  3. Step 3: Cross multiply
    6,767x = 9,014.50 × 9,014.50
  4. Step 4: Simplify right side
    6,767x = 81,261,210.25
  5. Step 5: Solve for x
    x = 81,261,210.25/6,767
  6. Step 6: Final answer
    x = 12,008.45

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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.