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Finding the Third Proportional to 1,621.69 and 2,381.06

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Solution

The third proportional to 1,621.69 and 2,381.06 is: 3,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.69 : 2,381.06 = 2,381.06 : x
  2. Step 2: Convert to fraction form
    1,621.69/2,381.06 = 2,381.06/x
  3. Step 3: Cross multiply
    1,621.69x = 2,381.06 × 2,381.06
  4. Step 4: Simplify right side
    1,621.69x = 5,669,458.63
  5. Step 5: Solve for x
    x = 5,669,458.63/1,621.69
  6. Step 6: Final answer
    x = 3,496.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.