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Finding the Third Proportional to 20,133 and 30,541.50

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Solution

The third proportional to 20,133 and 30,541.50 is: 46,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133 : 30,541.50 = 30,541.50 : x
  2. Step 2: Convert to fraction form
    20,133/30,541.50 = 30,541.50/x
  3. Step 3: Cross multiply
    20,133x = 30,541.50 × 30,541.50
  4. Step 4: Simplify right side
    20,133x = 932,783,222.25
  5. Step 5: Solve for x
    x = 932,783,222.25/20,133
  6. Step 6: Final answer
    x = 46,331.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.