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Finding the Third Proportional to 2,840.63 and 4,350.94

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Solution

The third proportional to 2,840.63 and 4,350.94 is: 6,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.63 : 4,350.94 = 4,350.94 : x
  2. Step 2: Convert to fraction form
    2,840.63/4,350.94 = 4,350.94/x
  3. Step 3: Cross multiply
    2,840.63x = 4,350.94 × 4,350.94
  4. Step 4: Simplify right side
    2,840.63x = 18,930,657.13
  5. Step 5: Solve for x
    x = 18,930,657.13/2,840.63
  6. Step 6: Final answer
    x = 6,664.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.