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Finding the Third Proportional to 20,439 and 47,764.50

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Solution

The third proportional to 20,439 and 47,764.50 is: 111,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439 : 47,764.50 = 47,764.50 : x
  2. Step 2: Convert to fraction form
    20,439/47,764.50 = 47,764.50/x
  3. Step 3: Cross multiply
    20,439x = 47,764.50 × 47,764.50
  4. Step 4: Simplify right side
    20,439x = 2,281,447,460.25
  5. Step 5: Solve for x
    x = 2,281,447,460.25/20,439
  6. Step 6: Final answer
    x = 111,622.26

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.