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Finding the Third Proportional to 1,752.26 and 3,804.47

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Solution

The third proportional to 1,752.26 and 3,804.47 is: 8,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.26 : 3,804.47 = 3,804.47 : x
  2. Step 2: Convert to fraction form
    1,752.26/3,804.47 = 3,804.47/x
  3. Step 3: Cross multiply
    1,752.26x = 3,804.47 × 3,804.47
  4. Step 4: Simplify right side
    1,752.26x = 14,473,982.47
  5. Step 5: Solve for x
    x = 14,473,982.47/1,752.26
  6. Step 6: Final answer
    x = 8,260.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.