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Finding the Third Proportional to 2,795.06 and 3,782.53

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Solution

The third proportional to 2,795.06 and 3,782.53 is: 5,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.06 : 3,782.53 = 3,782.53 : x
  2. Step 2: Convert to fraction form
    2,795.06/3,782.53 = 3,782.53/x
  3. Step 3: Cross multiply
    2,795.06x = 3,782.53 × 3,782.53
  4. Step 4: Simplify right side
    2,795.06x = 14,307,542.66
  5. Step 5: Solve for x
    x = 14,307,542.66/2,795.06
  6. Step 6: Final answer
    x = 5,118.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.