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Finding the Third Proportional to 6,305 and 13,573

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Solution

The third proportional to 6,305 and 13,573 is: 29,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305 : 13,573 = 13,573 : x
  2. Step 2: Convert to fraction form
    6,305/13,573 = 13,573/x
  3. Step 3: Cross multiply
    6,305x = 13,573 × 13,573
  4. Step 4: Simplify right side
    6,305x = 184,226,329
  5. Step 5: Solve for x
    x = 184,226,329/6,305
  6. Step 6: Final answer
    x = 29,219.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.