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Finding the Third Proportional to 1,258.94 and 2,734.06

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Solution

The third proportional to 1,258.94 and 2,734.06 is: 5,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.94 : 2,734.06 = 2,734.06 : x
  2. Step 2: Convert to fraction form
    1,258.94/2,734.06 = 2,734.06/x
  3. Step 3: Cross multiply
    1,258.94x = 2,734.06 × 2,734.06
  4. Step 4: Simplify right side
    1,258.94x = 7,475,097.75
  5. Step 5: Solve for x
    x = 7,475,097.75/1,258.94
  6. Step 6: Final answer
    x = 5,937.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.