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Finding the Third Proportional to 21,923.50 and 47,350.50

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Solution

The third proportional to 21,923.50 and 47,350.50 is: 102,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,923.50 : 47,350.50 = 47,350.50 : x
  2. Step 2: Convert to fraction form
    21,923.50/47,350.50 = 47,350.50/x
  3. Step 3: Cross multiply
    21,923.50x = 47,350.50 × 47,350.50
  4. Step 4: Simplify right side
    21,923.50x = 2,242,069,850.25
  5. Step 5: Solve for x
    x = 2,242,069,850.25/21,923.50
  6. Step 6: Final answer
    x = 102,267.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.