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Finding the Third Proportional to 838.88 and 1,804.13

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Solution

The third proportional to 838.88 and 1,804.13 is: 3,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.88 : 1,804.13 = 1,804.13 : x
  2. Step 2: Convert to fraction form
    838.88/1,804.13 = 1,804.13/x
  3. Step 3: Cross multiply
    838.88x = 1,804.13 × 1,804.13
  4. Step 4: Simplify right side
    838.88x = 3,254,867.02
  5. Step 5: Solve for x
    x = 3,254,867.02/838.88
  6. Step 6: Final answer
    x = 3,880.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.