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Finding the Third Proportional to 2,316 and 3,474.75

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Solution

The third proportional to 2,316 and 3,474.75 is: 5,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316 : 3,474.75 = 3,474.75 : x
  2. Step 2: Convert to fraction form
    2,316/3,474.75 = 3,474.75/x
  3. Step 3: Cross multiply
    2,316x = 3,474.75 × 3,474.75
  4. Step 4: Simplify right side
    2,316x = 12,073,887.56
  5. Step 5: Solve for x
    x = 12,073,887.56/2,316
  6. Step 6: Final answer
    x = 5,213.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.