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Finding the Third Proportional to 3,471 and 5,343

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Solution

The third proportional to 3,471 and 5,343 is: 8,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471 : 5,343 = 5,343 : x
  2. Step 2: Convert to fraction form
    3,471/5,343 = 5,343/x
  3. Step 3: Cross multiply
    3,471x = 5,343 × 5,343
  4. Step 4: Simplify right side
    3,471x = 28,547,649
  5. Step 5: Solve for x
    x = 28,547,649/3,471
  6. Step 6: Final answer
    x = 8,224.62

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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.