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Finding the Third Proportional to 848.60 and 1,768.39

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Solution

The third proportional to 848.60 and 1,768.39 is: 3,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.60 : 1,768.39 = 1,768.39 : x
  2. Step 2: Convert to fraction form
    848.60/1,768.39 = 1,768.39/x
  3. Step 3: Cross multiply
    848.60x = 1,768.39 × 1,768.39
  4. Step 4: Simplify right side
    848.60x = 3,127,219.22
  5. Step 5: Solve for x
    x = 3,127,219.22/848.60
  6. Step 6: Final answer
    x = 3,685.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.