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Finding the Third Proportional to 5,240 and 6,828

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Solution

The third proportional to 5,240 and 6,828 is: 8,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240 : 6,828 = 6,828 : x
  2. Step 2: Convert to fraction form
    5,240/6,828 = 6,828/x
  3. Step 3: Cross multiply
    5,240x = 6,828 × 6,828
  4. Step 4: Simplify right side
    5,240x = 46,621,584
  5. Step 5: Solve for x
    x = 46,621,584/5,240
  6. Step 6: Final answer
    x = 8,897.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.