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Finding the Third Proportional to 1,910.50 and 2,108.50

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Solution

The third proportional to 1,910.50 and 2,108.50 is: 2,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.50 : 2,108.50 = 2,108.50 : x
  2. Step 2: Convert to fraction form
    1,910.50/2,108.50 = 2,108.50/x
  3. Step 3: Cross multiply
    1,910.50x = 2,108.50 × 2,108.50
  4. Step 4: Simplify right side
    1,910.50x = 4,445,772.25
  5. Step 5: Solve for x
    x = 4,445,772.25/1,910.50
  6. Step 6: Final answer
    x = 2,327.02

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.