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Finding the Third Proportional to 1,441.78 and 2,258.75

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Solution

The third proportional to 1,441.78 and 2,258.75 is: 3,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.78 : 2,258.75 = 2,258.75 : x
  2. Step 2: Convert to fraction form
    1,441.78/2,258.75 = 2,258.75/x
  3. Step 3: Cross multiply
    1,441.78x = 2,258.75 × 2,258.75
  4. Step 4: Simplify right side
    1,441.78x = 5,101,929.50
  5. Step 5: Solve for x
    x = 5,101,929.50/1,441.78
  6. Step 6: Final answer
    x = 3,538.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.