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Finding the Third Proportional to 29,647.50 and 45,082.50

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Solution

The third proportional to 29,647.50 and 45,082.50 is: 68,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.50 : 45,082.50 = 45,082.50 : x
  2. Step 2: Convert to fraction form
    29,647.50/45,082.50 = 45,082.50/x
  3. Step 3: Cross multiply
    29,647.50x = 45,082.50 × 45,082.50
  4. Step 4: Simplify right side
    29,647.50x = 2,032,431,806.25
  5. Step 5: Solve for x
    x = 2,032,431,806.25/29,647.50
  6. Step 6: Final answer
    x = 68,553.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.