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Finding the Third Proportional to 1,807.95 and 2,750.84

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Solution

The third proportional to 1,807.95 and 2,750.84 is: 4,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.95 : 2,750.84 = 2,750.84 : x
  2. Step 2: Convert to fraction form
    1,807.95/2,750.84 = 2,750.84/x
  3. Step 3: Cross multiply
    1,807.95x = 2,750.84 × 2,750.84
  4. Step 4: Simplify right side
    1,807.95x = 7,567,098.36
  5. Step 5: Solve for x
    x = 7,567,098.36/1,807.95
  6. Step 6: Final answer
    x = 4,185.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.