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Finding the Third Proportional to 2,406 and 3,514.50

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Solution

The third proportional to 2,406 and 3,514.50 is: 5,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406 : 3,514.50 = 3,514.50 : x
  2. Step 2: Convert to fraction form
    2,406/3,514.50 = 3,514.50/x
  3. Step 3: Cross multiply
    2,406x = 3,514.50 × 3,514.50
  4. Step 4: Simplify right side
    2,406x = 12,351,710.25
  5. Step 5: Solve for x
    x = 12,351,710.25/2,406
  6. Step 6: Final answer
    x = 5,133.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.