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Finding the Third Proportional to 6,477.75 and 10,739.25

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Solution

The third proportional to 6,477.75 and 10,739.25 is: 17,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.75 : 10,739.25 = 10,739.25 : x
  2. Step 2: Convert to fraction form
    6,477.75/10,739.25 = 10,739.25/x
  3. Step 3: Cross multiply
    6,477.75x = 10,739.25 × 10,739.25
  4. Step 4: Simplify right side
    6,477.75x = 115,331,490.56
  5. Step 5: Solve for x
    x = 115,331,490.56/6,477.75
  6. Step 6: Final answer
    x = 17,804.25

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.