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Finding the Third Proportional to 3,498 and 4,896

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Solution

The third proportional to 3,498 and 4,896 is: 6,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498 : 4,896 = 4,896 : x
  2. Step 2: Convert to fraction form
    3,498/4,896 = 4,896/x
  3. Step 3: Cross multiply
    3,498x = 4,896 × 4,896
  4. Step 4: Simplify right side
    3,498x = 23,970,816
  5. Step 5: Solve for x
    x = 23,970,816/3,498
  6. Step 6: Final answer
    x = 6,852.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.