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Finding the Third Proportional to 6,150.94 and 13,070.74

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Solution

The third proportional to 6,150.94 and 13,070.74 is: 27,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.94 : 13,070.74 = 13,070.74 : x
  2. Step 2: Convert to fraction form
    6,150.94/13,070.74 = 13,070.74/x
  3. Step 3: Cross multiply
    6,150.94x = 13,070.74 × 13,070.74
  4. Step 4: Simplify right side
    6,150.94x = 170,844,301.33
  5. Step 5: Solve for x
    x = 170,844,301.33/6,150.94
  6. Step 6: Final answer
    x = 27,775.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.