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Finding the Third Proportional to 1,038.75 and 2,229.75

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Solution

The third proportional to 1,038.75 and 2,229.75 is: 4,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.75 : 2,229.75 = 2,229.75 : x
  2. Step 2: Convert to fraction form
    1,038.75/2,229.75 = 2,229.75/x
  3. Step 3: Cross multiply
    1,038.75x = 2,229.75 × 2,229.75
  4. Step 4: Simplify right side
    1,038.75x = 4,971,785.06
  5. Step 5: Solve for x
    x = 4,971,785.06/1,038.75
  6. Step 6: Final answer
    x = 4,786.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.