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Finding the Third Proportional to 4,677.75 and 6,105.38

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Solution

The third proportional to 4,677.75 and 6,105.38 is: 7,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.75 : 6,105.38 = 6,105.38 : x
  2. Step 2: Convert to fraction form
    4,677.75/6,105.38 = 6,105.38/x
  3. Step 3: Cross multiply
    4,677.75x = 6,105.38 × 6,105.38
  4. Step 4: Simplify right side
    4,677.75x = 37,275,603.89
  5. Step 5: Solve for x
    x = 37,275,603.89/4,677.75
  6. Step 6: Final answer
    x = 7,968.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.