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Finding the Third Proportional to 1,761.75 and 3,870.28

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Solution

The third proportional to 1,761.75 and 3,870.28 is: 8,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.75 : 3,870.28 = 3,870.28 : x
  2. Step 2: Convert to fraction form
    1,761.75/3,870.28 = 3,870.28/x
  3. Step 3: Cross multiply
    1,761.75x = 3,870.28 × 3,870.28
  4. Step 4: Simplify right side
    1,761.75x = 14,979,076.95
  5. Step 5: Solve for x
    x = 14,979,076.95/1,761.75
  6. Step 6: Final answer
    x = 8,502.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.