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Finding the Third Proportional to 2,554.03 and 3,828.52

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Solution

The third proportional to 2,554.03 and 3,828.52 is: 5,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.03 : 3,828.52 = 3,828.52 : x
  2. Step 2: Convert to fraction form
    2,554.03/3,828.52 = 3,828.52/x
  3. Step 3: Cross multiply
    2,554.03x = 3,828.52 × 3,828.52
  4. Step 4: Simplify right side
    2,554.03x = 14,657,531.89
  5. Step 5: Solve for x
    x = 14,657,531.89/2,554.03
  6. Step 6: Final answer
    x = 5,738.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.