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Finding the Third Proportional to 24,113.25 and 37,550.25

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Solution

The third proportional to 24,113.25 and 37,550.25 is: 58,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.25 : 37,550.25 = 37,550.25 : x
  2. Step 2: Convert to fraction form
    24,113.25/37,550.25 = 37,550.25/x
  3. Step 3: Cross multiply
    24,113.25x = 37,550.25 × 37,550.25
  4. Step 4: Simplify right side
    24,113.25x = 1,410,021,275.06
  5. Step 5: Solve for x
    x = 1,410,021,275.06/24,113.25
  6. Step 6: Final answer
    x = 58,474.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.