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Finding the Third Proportional to 1,036.94 and 2,235.88

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Solution

The third proportional to 1,036.94 and 2,235.88 is: 4,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.94 : 2,235.88 = 2,235.88 : x
  2. Step 2: Convert to fraction form
    1,036.94/2,235.88 = 2,235.88/x
  3. Step 3: Cross multiply
    1,036.94x = 2,235.88 × 2,235.88
  4. Step 4: Simplify right side
    1,036.94x = 4,999,137.02
  5. Step 5: Solve for x
    x = 4,999,137.02/1,036.94
  6. Step 6: Final answer
    x = 4,821.06

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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.