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Finding the Third Proportional to 2,564.25 and 6,636.75

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Solution

The third proportional to 2,564.25 and 6,636.75 is: 17,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.25 : 6,636.75 = 6,636.75 : x
  2. Step 2: Convert to fraction form
    2,564.25/6,636.75 = 6,636.75/x
  3. Step 3: Cross multiply
    2,564.25x = 6,636.75 × 6,636.75
  4. Step 4: Simplify right side
    2,564.25x = 44,046,450.56
  5. Step 5: Solve for x
    x = 44,046,450.56/2,564.25
  6. Step 6: Final answer
    x = 17,177.13

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.