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Finding the Third Proportional to 4,272.75 and 6,544.25

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Solution

The third proportional to 4,272.75 and 6,544.25 is: 10,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.75 : 6,544.25 = 6,544.25 : x
  2. Step 2: Convert to fraction form
    4,272.75/6,544.25 = 6,544.25/x
  3. Step 3: Cross multiply
    4,272.75x = 6,544.25 × 6,544.25
  4. Step 4: Simplify right side
    4,272.75x = 42,827,208.06
  5. Step 5: Solve for x
    x = 42,827,208.06/4,272.75
  6. Step 6: Final answer
    x = 10,023.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.