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Finding the Third Proportional to 5,006 and 5,573

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Solution

The third proportional to 5,006 and 5,573 is: 6,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 5,573 = 5,573 : x
  2. Step 2: Convert to fraction form
    5,006/5,573 = 5,573/x
  3. Step 3: Cross multiply
    5,006x = 5,573 × 5,573
  4. Step 4: Simplify right side
    5,006x = 31,058,329
  5. Step 5: Solve for x
    x = 31,058,329/5,006
  6. Step 6: Final answer
    x = 6,204.22

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.