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Finding the Third Proportional to 6,844.50 and 8,015.63

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Solution

The third proportional to 6,844.50 and 8,015.63 is: 9,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.50 : 8,015.63 = 8,015.63 : x
  2. Step 2: Convert to fraction form
    6,844.50/8,015.63 = 8,015.63/x
  3. Step 3: Cross multiply
    6,844.50x = 8,015.63 × 8,015.63
  4. Step 4: Simplify right side
    6,844.50x = 64,250,244.14
  5. Step 5: Solve for x
    x = 64,250,244.14/6,844.50
  6. Step 6: Final answer
    x = 9,387.13

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.