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Finding the Third Proportional to 4,265.44 and 6,580.69

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Solution

The third proportional to 4,265.44 and 6,580.69 is: 10,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.44 : 6,580.69 = 6,580.69 : x
  2. Step 2: Convert to fraction form
    4,265.44/6,580.69 = 6,580.69/x
  3. Step 3: Cross multiply
    4,265.44x = 6,580.69 × 6,580.69
  4. Step 4: Simplify right side
    4,265.44x = 43,305,447.97
  5. Step 5: Solve for x
    x = 43,305,447.97/4,265.44
  6. Step 6: Final answer
    x = 10,152.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.