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Finding the Third Proportional to 1,804.36 and 3,752.16

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Solution

The third proportional to 1,804.36 and 3,752.16 is: 7,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.36 : 3,752.16 = 3,752.16 : x
  2. Step 2: Convert to fraction form
    1,804.36/3,752.16 = 3,752.16/x
  3. Step 3: Cross multiply
    1,804.36x = 3,752.16 × 3,752.16
  4. Step 4: Simplify right side
    1,804.36x = 14,078,676.52
  5. Step 5: Solve for x
    x = 14,078,676.52/1,804.36
  6. Step 6: Final answer
    x = 7,802.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.