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Finding the Third Proportional to 846.56 and 2,039.06

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Solution

The third proportional to 846.56 and 2,039.06 is: 4,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.56 : 2,039.06 = 2,039.06 : x
  2. Step 2: Convert to fraction form
    846.56/2,039.06 = 2,039.06/x
  3. Step 3: Cross multiply
    846.56x = 2,039.06 × 2,039.06
  4. Step 4: Simplify right side
    846.56x = 4,157,775.88
  5. Step 5: Solve for x
    x = 4,157,775.88/846.56
  6. Step 6: Final answer
    x = 4,911.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.