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Finding the Third Proportional to 4,768.88 and 6,998.06

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Solution

The third proportional to 4,768.88 and 6,998.06 is: 10,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.88 : 6,998.06 = 6,998.06 : x
  2. Step 2: Convert to fraction form
    4,768.88/6,998.06 = 6,998.06/x
  3. Step 3: Cross multiply
    4,768.88x = 6,998.06 × 6,998.06
  4. Step 4: Simplify right side
    4,768.88x = 48,972,878.75
  5. Step 5: Solve for x
    x = 48,972,878.75/4,768.88
  6. Step 6: Final answer
    x = 10,269.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.