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Finding the Third Proportional to 4,207.75 and 6,601.25

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Solution

The third proportional to 4,207.75 and 6,601.25 is: 10,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.75 : 6,601.25 = 6,601.25 : x
  2. Step 2: Convert to fraction form
    4,207.75/6,601.25 = 6,601.25/x
  3. Step 3: Cross multiply
    4,207.75x = 6,601.25 × 6,601.25
  4. Step 4: Simplify right side
    4,207.75x = 43,576,501.56
  5. Step 5: Solve for x
    x = 43,576,501.56/4,207.75
  6. Step 6: Final answer
    x = 10,356.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.