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Finding the Third Proportional to 864.19 and 1,804.88

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Solution

The third proportional to 864.19 and 1,804.88 is: 3,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.19 : 1,804.88 = 1,804.88 : x
  2. Step 2: Convert to fraction form
    864.19/1,804.88 = 1,804.88/x
  3. Step 3: Cross multiply
    864.19x = 1,804.88 × 1,804.88
  4. Step 4: Simplify right side
    864.19x = 3,257,573.77
  5. Step 5: Solve for x
    x = 3,257,573.77/864.19
  6. Step 6: Final answer
    x = 3,769.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.