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Finding the Third Proportional to 29,829.75 and 41,811.75

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Solution

The third proportional to 29,829.75 and 41,811.75 is: 58,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.75 : 41,811.75 = 41,811.75 : x
  2. Step 2: Convert to fraction form
    29,829.75/41,811.75 = 41,811.75/x
  3. Step 3: Cross multiply
    29,829.75x = 41,811.75 × 41,811.75
  4. Step 4: Simplify right side
    29,829.75x = 1,748,222,438.06
  5. Step 5: Solve for x
    x = 1,748,222,438.06/29,829.75
  6. Step 6: Final answer
    x = 58,606.67

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