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Finding the Third Proportional to 4,130 and 5,822

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Solution

The third proportional to 4,130 and 5,822 is: 8,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130 : 5,822 = 5,822 : x
  2. Step 2: Convert to fraction form
    4,130/5,822 = 5,822/x
  3. Step 3: Cross multiply
    4,130x = 5,822 × 5,822
  4. Step 4: Simplify right side
    4,130x = 33,895,684
  5. Step 5: Solve for x
    x = 33,895,684/4,130
  6. Step 6: Final answer
    x = 8,207.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.