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Finding the Third Proportional to 3,454 and 5,946

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Solution

The third proportional to 3,454 and 5,946 is: 10,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454 : 5,946 = 5,946 : x
  2. Step 2: Convert to fraction form
    3,454/5,946 = 5,946/x
  3. Step 3: Cross multiply
    3,454x = 5,946 × 5,946
  4. Step 4: Simplify right side
    3,454x = 35,354,916
  5. Step 5: Solve for x
    x = 35,354,916/3,454
  6. Step 6: Final answer
    x = 10,235.93

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.