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Finding the Third Proportional to 41,087.50 and 58,715

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Solution

The third proportional to 41,087.50 and 58,715 is: 83,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,087.50 : 58,715 = 58,715 : x
  2. Step 2: Convert to fraction form
    41,087.50/58,715 = 58,715/x
  3. Step 3: Cross multiply
    41,087.50x = 58,715 × 58,715
  4. Step 4: Simplify right side
    41,087.50x = 3,447,451,225
  5. Step 5: Solve for x
    x = 3,447,451,225/41,087.50
  6. Step 6: Final answer
    x = 83,905.11

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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.