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Finding the Third Proportional to 4,579.88 and 6,957.75

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Solution

The third proportional to 4,579.88 and 6,957.75 is: 10,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,579.88 : 6,957.75 = 6,957.75 : x
  2. Step 2: Convert to fraction form
    4,579.88/6,957.75 = 6,957.75/x
  3. Step 3: Cross multiply
    4,579.88x = 6,957.75 × 6,957.75
  4. Step 4: Simplify right side
    4,579.88x = 48,410,285.06
  5. Step 5: Solve for x
    x = 48,410,285.06/4,579.88
  6. Step 6: Final answer
    x = 10,570.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.