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Finding the Third Proportional to 19,745 and 41,703.50

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Solution

The third proportional to 19,745 and 41,703.50 is: 88,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745 : 41,703.50 = 41,703.50 : x
  2. Step 2: Convert to fraction form
    19,745/41,703.50 = 41,703.50/x
  3. Step 3: Cross multiply
    19,745x = 41,703.50 × 41,703.50
  4. Step 4: Simplify right side
    19,745x = 1,739,181,912.25
  5. Step 5: Solve for x
    x = 1,739,181,912.25/19,745
  6. Step 6: Final answer
    x = 88,082.14

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.