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Finding the Third Proportional to 6,276.94 and 9,719.44

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Solution

The third proportional to 6,276.94 and 9,719.44 is: 15,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.94 : 9,719.44 = 9,719.44 : x
  2. Step 2: Convert to fraction form
    6,276.94/9,719.44 = 9,719.44/x
  3. Step 3: Cross multiply
    6,276.94x = 9,719.44 × 9,719.44
  4. Step 4: Simplify right side
    6,276.94x = 94,467,465.32
  5. Step 5: Solve for x
    x = 94,467,465.32/6,276.94
  6. Step 6: Final answer
    x = 15,049.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.