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Finding the Third Proportional to 1,486.88 and 2,234.63

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Solution

The third proportional to 1,486.88 and 2,234.63 is: 3,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.88 : 2,234.63 = 2,234.63 : x
  2. Step 2: Convert to fraction form
    1,486.88/2,234.63 = 2,234.63/x
  3. Step 3: Cross multiply
    1,486.88x = 2,234.63 × 2,234.63
  4. Step 4: Simplify right side
    1,486.88x = 4,993,548.89
  5. Step 5: Solve for x
    x = 4,993,548.89/1,486.88
  6. Step 6: Final answer
    x = 3,358.42

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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.