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Finding the Third Proportional to 1,036.41 and 2,173.78

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Solution

The third proportional to 1,036.41 and 2,173.78 is: 4,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.41 : 2,173.78 = 2,173.78 : x
  2. Step 2: Convert to fraction form
    1,036.41/2,173.78 = 2,173.78/x
  3. Step 3: Cross multiply
    1,036.41x = 2,173.78 × 2,173.78
  4. Step 4: Simplify right side
    1,036.41x = 4,725,324.92
  5. Step 5: Solve for x
    x = 4,725,324.92/1,036.41
  6. Step 6: Final answer
    x = 4,559.34

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.