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Finding the Third Proportional to 20,826.75 and 45,347.25

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Solution

The third proportional to 20,826.75 and 45,347.25 is: 98,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826.75 : 45,347.25 = 45,347.25 : x
  2. Step 2: Convert to fraction form
    20,826.75/45,347.25 = 45,347.25/x
  3. Step 3: Cross multiply
    20,826.75x = 45,347.25 × 45,347.25
  4. Step 4: Simplify right side
    20,826.75x = 2,056,373,082.56
  5. Step 5: Solve for x
    x = 2,056,373,082.56/20,826.75
  6. Step 6: Final answer
    x = 98,737.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.