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Finding the Third Proportional to 5,823 and 6,426

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Solution

The third proportional to 5,823 and 6,426 is: 7,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 6,426 = 6,426 : x
  2. Step 2: Convert to fraction form
    5,823/6,426 = 6,426/x
  3. Step 3: Cross multiply
    5,823x = 6,426 × 6,426
  4. Step 4: Simplify right side
    5,823x = 41,293,476
  5. Step 5: Solve for x
    x = 41,293,476/5,823
  6. Step 6: Final answer
    x = 7,091.44

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.