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Finding the Third Proportional to 41,838.75 and 58,519.13

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Solution

The third proportional to 41,838.75 and 58,519.13 is: 81,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,838.75 : 58,519.13 = 58,519.13 : x
  2. Step 2: Convert to fraction form
    41,838.75/58,519.13 = 58,519.13/x
  3. Step 3: Cross multiply
    41,838.75x = 58,519.13 × 58,519.13
  4. Step 4: Simplify right side
    41,838.75x = 3,424,487,990.77
  5. Step 5: Solve for x
    x = 3,424,487,990.77/41,838.75
  6. Step 6: Final answer
    x = 81,849.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.