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Finding the Third Proportional to 20,404.50 and 47,320.50

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Solution

The third proportional to 20,404.50 and 47,320.50 is: 109,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404.50 : 47,320.50 = 47,320.50 : x
  2. Step 2: Convert to fraction form
    20,404.50/47,320.50 = 47,320.50/x
  3. Step 3: Cross multiply
    20,404.50x = 47,320.50 × 47,320.50
  4. Step 4: Simplify right side
    20,404.50x = 2,239,229,720.25
  5. Step 5: Solve for x
    x = 2,239,229,720.25/20,404.50
  6. Step 6: Final answer
    x = 109,741.95

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.