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Finding the Third Proportional to 6,377.06 and 9,768.94

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Solution

The third proportional to 6,377.06 and 9,768.94 is: 14,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.06 : 9,768.94 = 9,768.94 : x
  2. Step 2: Convert to fraction form
    6,377.06/9,768.94 = 9,768.94/x
  3. Step 3: Cross multiply
    6,377.06x = 9,768.94 × 9,768.94
  4. Step 4: Simplify right side
    6,377.06x = 95,432,139.88
  5. Step 5: Solve for x
    x = 95,432,139.88/6,377.06
  6. Step 6: Final answer
    x = 14,964.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.