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Finding the Third Proportional to 20,661.75 and 47,401.88

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Solution

The third proportional to 20,661.75 and 47,401.88 is: 108,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661.75 : 47,401.88 = 47,401.88 : x
  2. Step 2: Convert to fraction form
    20,661.75/47,401.88 = 47,401.88/x
  3. Step 3: Cross multiply
    20,661.75x = 47,401.88 × 47,401.88
  4. Step 4: Simplify right side
    20,661.75x = 2,246,937,753.52
  5. Step 5: Solve for x
    x = 2,246,937,753.52/20,661.75
  6. Step 6: Final answer
    x = 108,748.67

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.