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Finding the Third Proportional to 7,811.44 and 17,051.77

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Solution

The third proportional to 7,811.44 and 17,051.77 is: 37,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.44 : 17,051.77 = 17,051.77 : x
  2. Step 2: Convert to fraction form
    7,811.44/17,051.77 = 17,051.77/x
  3. Step 3: Cross multiply
    7,811.44x = 17,051.77 × 17,051.77
  4. Step 4: Simplify right side
    7,811.44x = 290,762,710.93
  5. Step 5: Solve for x
    x = 290,762,710.93/7,811.44
  6. Step 6: Final answer
    x = 37,222.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.