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Finding the Third Proportional to 5,823 and 12,807

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Solution

The third proportional to 5,823 and 12,807 is: 28,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 12,807 = 12,807 : x
  2. Step 2: Convert to fraction form
    5,823/12,807 = 12,807/x
  3. Step 3: Cross multiply
    5,823x = 12,807 × 12,807
  4. Step 4: Simplify right side
    5,823x = 164,019,249
  5. Step 5: Solve for x
    x = 164,019,249/5,823
  6. Step 6: Final answer
    x = 28,167.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.