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Finding the Third Proportional to 845.50 and 1,856.50

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Solution

The third proportional to 845.50 and 1,856.50 is: 4,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.50 : 1,856.50 = 1,856.50 : x
  2. Step 2: Convert to fraction form
    845.50/1,856.50 = 1,856.50/x
  3. Step 3: Cross multiply
    845.50x = 1,856.50 × 1,856.50
  4. Step 4: Simplify right side
    845.50x = 3,446,592.25
  5. Step 5: Solve for x
    x = 3,446,592.25/845.50
  6. Step 6: Final answer
    x = 4,076.40

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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.