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Finding the Third Proportional to 40,234.50 and 58,983.75

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Solution

The third proportional to 40,234.50 and 58,983.75 is: 86,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,234.50 : 58,983.75 = 58,983.75 : x
  2. Step 2: Convert to fraction form
    40,234.50/58,983.75 = 58,983.75/x
  3. Step 3: Cross multiply
    40,234.50x = 58,983.75 × 58,983.75
  4. Step 4: Simplify right side
    40,234.50x = 3,479,082,764.06
  5. Step 5: Solve for x
    x = 3,479,082,764.06/40,234.50
  6. Step 6: Final answer
    x = 86,470.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.