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Finding the Third Proportional to 3,283.88 and 4,926.56

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Solution

The third proportional to 3,283.88 and 4,926.56 is: 7,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.88 : 4,926.56 = 4,926.56 : x
  2. Step 2: Convert to fraction form
    3,283.88/4,926.56 = 4,926.56/x
  3. Step 3: Cross multiply
    3,283.88x = 4,926.56 × 4,926.56
  4. Step 4: Simplify right side
    3,283.88x = 24,271,018.07
  5. Step 5: Solve for x
    x = 24,271,018.07/3,283.88
  6. Step 6: Final answer
    x = 7,390.97

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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.