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Finding the Third Proportional to 39,229.50 and 58,082

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Solution

The third proportional to 39,229.50 and 58,082 is: 85,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,229.50 : 58,082 = 58,082 : x
  2. Step 2: Convert to fraction form
    39,229.50/58,082 = 58,082/x
  3. Step 3: Cross multiply
    39,229.50x = 58,082 × 58,082
  4. Step 4: Simplify right side
    39,229.50x = 3,373,518,724
  5. Step 5: Solve for x
    x = 3,373,518,724/39,229.50
  6. Step 6: Final answer
    x = 85,994.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.