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Finding the Third Proportional to 854.89 and 1,846.47

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Solution

The third proportional to 854.89 and 1,846.47 is: 3,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.89 : 1,846.47 = 1,846.47 : x
  2. Step 2: Convert to fraction form
    854.89/1,846.47 = 1,846.47/x
  3. Step 3: Cross multiply
    854.89x = 1,846.47 × 1,846.47
  4. Step 4: Simplify right side
    854.89x = 3,409,443.24
  5. Step 5: Solve for x
    x = 3,409,443.24/854.89
  6. Step 6: Final answer
    x = 3,988.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.