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Finding the Third Proportional to 2,835.84 and 4,381.31

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Solution

The third proportional to 2,835.84 and 4,381.31 is: 6,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.84 : 4,381.31 = 4,381.31 : x
  2. Step 2: Convert to fraction form
    2,835.84/4,381.31 = 4,381.31/x
  3. Step 3: Cross multiply
    2,835.84x = 4,381.31 × 4,381.31
  4. Step 4: Simplify right side
    2,835.84x = 19,195,899.22
  5. Step 5: Solve for x
    x = 19,195,899.22/2,835.84
  6. Step 6: Final answer
    x = 6,769.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.