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Finding the Third Proportional to 2,804.63 and 6,159.80

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Solution

The third proportional to 2,804.63 and 6,159.80 is: 13,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.63 : 6,159.80 = 6,159.80 : x
  2. Step 2: Convert to fraction form
    2,804.63/6,159.80 = 6,159.80/x
  3. Step 3: Cross multiply
    2,804.63x = 6,159.80 × 6,159.80
  4. Step 4: Simplify right side
    2,804.63x = 37,943,097.54
  5. Step 5: Solve for x
    x = 37,943,097.54/2,804.63
  6. Step 6: Final answer
    x = 13,528.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.