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Finding the Third Proportional to 4,617 and 6,930.75

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Solution

The third proportional to 4,617 and 6,930.75 is: 10,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617 : 6,930.75 = 6,930.75 : x
  2. Step 2: Convert to fraction form
    4,617/6,930.75 = 6,930.75/x
  3. Step 3: Cross multiply
    4,617x = 6,930.75 × 6,930.75
  4. Step 4: Simplify right side
    4,617x = 48,035,295.56
  5. Step 5: Solve for x
    x = 48,035,295.56/4,617
  6. Step 6: Final answer
    x = 10,404.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.