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Finding the Third Proportional to 3,470 and 4,391

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Solution

The third proportional to 3,470 and 4,391 is: 5,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470 : 4,391 = 4,391 : x
  2. Step 2: Convert to fraction form
    3,470/4,391 = 4,391/x
  3. Step 3: Cross multiply
    3,470x = 4,391 × 4,391
  4. Step 4: Simplify right side
    3,470x = 19,280,881
  5. Step 5: Solve for x
    x = 19,280,881/3,470
  6. Step 6: Final answer
    x = 5,556.45

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.