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Finding the Third Proportional to 2,945 and 6,810.50

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Solution

The third proportional to 2,945 and 6,810.50 is: 15,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945 : 6,810.50 = 6,810.50 : x
  2. Step 2: Convert to fraction form
    2,945/6,810.50 = 6,810.50/x
  3. Step 3: Cross multiply
    2,945x = 6,810.50 × 6,810.50
  4. Step 4: Simplify right side
    2,945x = 46,382,910.25
  5. Step 5: Solve for x
    x = 46,382,910.25/2,945
  6. Step 6: Final answer
    x = 15,749.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.