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Finding the Third Proportional to 4,694.63 and 6,563.06

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Solution

The third proportional to 4,694.63 and 6,563.06 is: 9,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.63 : 6,563.06 = 6,563.06 : x
  2. Step 2: Convert to fraction form
    4,694.63/6,563.06 = 6,563.06/x
  3. Step 3: Cross multiply
    4,694.63x = 6,563.06 × 6,563.06
  4. Step 4: Simplify right side
    4,694.63x = 43,073,789.38
  5. Step 5: Solve for x
    x = 43,073,789.38/4,694.63
  6. Step 6: Final answer
    x = 9,175.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.