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Finding the Third Proportional to 29,082 and 62,806.50

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Solution

The third proportional to 29,082 and 62,806.50 is: 135,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082 : 62,806.50 = 62,806.50 : x
  2. Step 2: Convert to fraction form
    29,082/62,806.50 = 62,806.50/x
  3. Step 3: Cross multiply
    29,082x = 62,806.50 × 62,806.50
  4. Step 4: Simplify right side
    29,082x = 3,944,656,442.25
  5. Step 5: Solve for x
    x = 3,944,656,442.25/29,082
  6. Step 6: Final answer
    x = 135,639.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.