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Finding the Third Proportional to 40,715.50 and 58,115

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Solution

The third proportional to 40,715.50 and 58,115 is: 82,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,715.50 : 58,115 = 58,115 : x
  2. Step 2: Convert to fraction form
    40,715.50/58,115 = 58,115/x
  3. Step 3: Cross multiply
    40,715.50x = 58,115 × 58,115
  4. Step 4: Simplify right side
    40,715.50x = 3,377,353,225
  5. Step 5: Solve for x
    x = 3,377,353,225/40,715.50
  6. Step 6: Final answer
    x = 82,950.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.