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Finding the Third Proportional to 3,463 and 5,348

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Solution

The third proportional to 3,463 and 5,348 is: 8,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463 : 5,348 = 5,348 : x
  2. Step 2: Convert to fraction form
    3,463/5,348 = 5,348/x
  3. Step 3: Cross multiply
    3,463x = 5,348 × 5,348
  4. Step 4: Simplify right side
    3,463x = 28,601,104
  5. Step 5: Solve for x
    x = 28,601,104/3,463
  6. Step 6: Final answer
    x = 8,259.05

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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.