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Finding the Third Proportional to 3,464 and 5,255

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Solution

The third proportional to 3,464 and 5,255 is: 7,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464 : 5,255 = 5,255 : x
  2. Step 2: Convert to fraction form
    3,464/5,255 = 5,255/x
  3. Step 3: Cross multiply
    3,464x = 5,255 × 5,255
  4. Step 4: Simplify right side
    3,464x = 27,615,025
  5. Step 5: Solve for x
    x = 27,615,025/3,464
  6. Step 6: Final answer
    x = 7,972.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.