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Finding the Third Proportional to 43,024.50 and 47,216.25

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Solution

The third proportional to 43,024.50 and 47,216.25 is: 51,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,024.50 : 47,216.25 = 47,216.25 : x
  2. Step 2: Convert to fraction form
    43,024.50/47,216.25 = 47,216.25/x
  3. Step 3: Cross multiply
    43,024.50x = 47,216.25 × 47,216.25
  4. Step 4: Simplify right side
    43,024.50x = 2,229,374,264.06
  5. Step 5: Solve for x
    x = 2,229,374,264.06/43,024.50
  6. Step 6: Final answer
    x = 51,816.39

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.