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Finding the Third Proportional to 3,407 and 5,264

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Solution

The third proportional to 3,407 and 5,264 is: 8,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407 : 5,264 = 5,264 : x
  2. Step 2: Convert to fraction form
    3,407/5,264 = 5,264/x
  3. Step 3: Cross multiply
    3,407x = 5,264 × 5,264
  4. Step 4: Simplify right side
    3,407x = 27,709,696
  5. Step 5: Solve for x
    x = 27,709,696/3,407
  6. Step 6: Final answer
    x = 8,133.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.