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Finding the Third Proportional to 1,899.73 and 2,842.00

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Solution

The third proportional to 1,899.73 and 2,842.00 is: 4,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.73 : 2,842.00 = 2,842.00 : x
  2. Step 2: Convert to fraction form
    1,899.73/2,842.00 = 2,842.00/x
  3. Step 3: Cross multiply
    1,899.73x = 2,842.00 × 2,842.00
  4. Step 4: Simplify right side
    1,899.73x = 8,076,941.80
  5. Step 5: Solve for x
    x = 8,076,941.80/1,899.73
  6. Step 6: Final answer
    x = 4,251.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.