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Finding the Third Proportional to 6,390.14 and 13,805.44

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Solution

The third proportional to 6,390.14 and 13,805.44 is: 29,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.14 : 13,805.44 = 13,805.44 : x
  2. Step 2: Convert to fraction form
    6,390.14/13,805.44 = 13,805.44/x
  3. Step 3: Cross multiply
    6,390.14x = 13,805.44 × 13,805.44
  4. Step 4: Simplify right side
    6,390.14x = 190,590,104.57
  5. Step 5: Solve for x
    x = 190,590,104.57/6,390.14
  6. Step 6: Final answer
    x = 29,825.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.