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Finding the Third Proportional to 1,804.36 and 4,300.17

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Solution

The third proportional to 1,804.36 and 4,300.17 is: 10,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.36 : 4,300.17 = 4,300.17 : x
  2. Step 2: Convert to fraction form
    1,804.36/4,300.17 = 4,300.17/x
  3. Step 3: Cross multiply
    1,804.36x = 4,300.17 × 4,300.17
  4. Step 4: Simplify right side
    1,804.36x = 18,491,478.15
  5. Step 5: Solve for x
    x = 18,491,478.15/1,804.36
  6. Step 6: Final answer
    x = 10,248.22

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.