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Finding the Third Proportional to 1,807.88 and 2,769.75

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Solution

The third proportional to 1,807.88 and 2,769.75 is: 4,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.88 : 2,769.75 = 2,769.75 : x
  2. Step 2: Convert to fraction form
    1,807.88/2,769.75 = 2,769.75/x
  3. Step 3: Cross multiply
    1,807.88x = 2,769.75 × 2,769.75
  4. Step 4: Simplify right side
    1,807.88x = 7,671,515.06
  5. Step 5: Solve for x
    x = 7,671,515.06/1,807.88
  6. Step 6: Final answer
    x = 4,243.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.