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Finding the Third Proportional to 6,173.72 and 13,053.66

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Solution

The third proportional to 6,173.72 and 13,053.66 is: 27,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.72 : 13,053.66 = 13,053.66 : x
  2. Step 2: Convert to fraction form
    6,173.72/13,053.66 = 13,053.66/x
  3. Step 3: Cross multiply
    6,173.72x = 13,053.66 × 13,053.66
  4. Step 4: Simplify right side
    6,173.72x = 170,397,941.49
  5. Step 5: Solve for x
    x = 170,397,941.49/6,173.72
  6. Step 6: Final answer
    x = 27,600.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.