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Finding the Third Proportional to 6,074.05 and 13,272.93

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Solution

The third proportional to 6,074.05 and 13,272.93 is: 29,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.05 : 13,272.93 = 13,272.93 : x
  2. Step 2: Convert to fraction form
    6,074.05/13,272.93 = 13,272.93/x
  3. Step 3: Cross multiply
    6,074.05x = 13,272.93 × 13,272.93
  4. Step 4: Simplify right side
    6,074.05x = 176,170,558.79
  5. Step 5: Solve for x
    x = 176,170,558.79/6,074.05
  6. Step 6: Final answer
    x = 29,003.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.