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Finding the Third Proportional to 2,798.30 and 6,097.78

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Solution

The third proportional to 2,798.30 and 6,097.78 is: 13,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.30 : 6,097.78 = 6,097.78 : x
  2. Step 2: Convert to fraction form
    2,798.30/6,097.78 = 6,097.78/x
  3. Step 3: Cross multiply
    2,798.30x = 6,097.78 × 6,097.78
  4. Step 4: Simplify right side
    2,798.30x = 37,182,936.17
  5. Step 5: Solve for x
    x = 37,182,936.17/2,798.30
  6. Step 6: Final answer
    x = 13,287.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.