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Finding the Third Proportional to 39,754 and 55,720.50

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Solution

The third proportional to 39,754 and 55,720.50 is: 78,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,754 : 55,720.50 = 55,720.50 : x
  2. Step 2: Convert to fraction form
    39,754/55,720.50 = 55,720.50/x
  3. Step 3: Cross multiply
    39,754x = 55,720.50 × 55,720.50
  4. Step 4: Simplify right side
    39,754x = 3,104,774,120.25
  5. Step 5: Solve for x
    x = 3,104,774,120.25/39,754
  6. Step 6: Final answer
    x = 78,099.67

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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.