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Finding the Third Proportional to 2,368.41 and 3,553.03

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Solution

The third proportional to 2,368.41 and 3,553.03 is: 5,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.41 : 3,553.03 = 3,553.03 : x
  2. Step 2: Convert to fraction form
    2,368.41/3,553.03 = 3,553.03/x
  3. Step 3: Cross multiply
    2,368.41x = 3,553.03 × 3,553.03
  4. Step 4: Simplify right side
    2,368.41x = 12,624,031.06
  5. Step 5: Solve for x
    x = 12,624,031.06/2,368.41
  6. Step 6: Final answer
    x = 5,330.18

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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.