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Finding the Third Proportional to 848.06 and 1,512.75

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Solution

The third proportional to 848.06 and 1,512.75 is: 2,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.06 : 1,512.75 = 1,512.75 : x
  2. Step 2: Convert to fraction form
    848.06/1,512.75 = 1,512.75/x
  3. Step 3: Cross multiply
    848.06x = 1,512.75 × 1,512.75
  4. Step 4: Simplify right side
    848.06x = 2,288,412.56
  5. Step 5: Solve for x
    x = 2,288,412.56/848.06
  6. Step 6: Final answer
    x = 2,698.40

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.