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Finding the Third Proportional to 857.06 and 1,844.06

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Solution

The third proportional to 857.06 and 1,844.06 is: 3,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.06 : 1,844.06 = 1,844.06 : x
  2. Step 2: Convert to fraction form
    857.06/1,844.06 = 1,844.06/x
  3. Step 3: Cross multiply
    857.06x = 1,844.06 × 1,844.06
  4. Step 4: Simplify right side
    857.06x = 3,400,566.50
  5. Step 5: Solve for x
    x = 3,400,566.50/857.06
  6. Step 6: Final answer
    x = 3,967.70

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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.