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Finding the Third Proportional to 2,438.25 and 2,883.75

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Solution

The third proportional to 2,438.25 and 2,883.75 is: 3,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.25 : 2,883.75 = 2,883.75 : x
  2. Step 2: Convert to fraction form
    2,438.25/2,883.75 = 2,883.75/x
  3. Step 3: Cross multiply
    2,438.25x = 2,883.75 × 2,883.75
  4. Step 4: Simplify right side
    2,438.25x = 8,316,014.06
  5. Step 5: Solve for x
    x = 8,316,014.06/2,438.25
  6. Step 6: Final answer
    x = 3,410.65

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.