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Finding the Third Proportional to 1,046.51 and 2,255.34

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Solution

The third proportional to 1,046.51 and 2,255.34 is: 4,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.51 : 2,255.34 = 2,255.34 : x
  2. Step 2: Convert to fraction form
    1,046.51/2,255.34 = 2,255.34/x
  3. Step 3: Cross multiply
    1,046.51x = 2,255.34 × 2,255.34
  4. Step 4: Simplify right side
    1,046.51x = 5,086,575.43
  5. Step 5: Solve for x
    x = 5,086,575.43/1,046.51
  6. Step 6: Final answer
    x = 4,860.50

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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.