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Finding the Third Proportional to 1,804.50 and 2,435.06

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Solution

The third proportional to 1,804.50 and 2,435.06 is: 3,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.50 : 2,435.06 = 2,435.06 : x
  2. Step 2: Convert to fraction form
    1,804.50/2,435.06 = 2,435.06/x
  3. Step 3: Cross multiply
    1,804.50x = 2,435.06 × 2,435.06
  4. Step 4: Simplify right side
    1,804.50x = 5,929,529.38
  5. Step 5: Solve for x
    x = 5,929,529.38/1,804.50
  6. Step 6: Final answer
    x = 3,285.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.