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Finding the Third Proportional to 1,840.97 and 2,788.27

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Solution

The third proportional to 1,840.97 and 2,788.27 is: 4,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.97 : 2,788.27 = 2,788.27 : x
  2. Step 2: Convert to fraction form
    1,840.97/2,788.27 = 2,788.27/x
  3. Step 3: Cross multiply
    1,840.97x = 2,788.27 × 2,788.27
  4. Step 4: Simplify right side
    1,840.97x = 7,774,425.20
  5. Step 5: Solve for x
    x = 7,774,425.20/1,840.97
  6. Step 6: Final answer
    x = 4,223.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.