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Finding the Third Proportional to 20,116.31 and 30,433.31

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Solution

The third proportional to 20,116.31 and 30,433.31 is: 46,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116.31 : 30,433.31 = 30,433.31 : x
  2. Step 2: Convert to fraction form
    20,116.31/30,433.31 = 30,433.31/x
  3. Step 3: Cross multiply
    20,116.31x = 30,433.31 × 30,433.31
  4. Step 4: Simplify right side
    20,116.31x = 926,186,509.72
  5. Step 5: Solve for x
    x = 926,186,509.72/20,116.31
  6. Step 6: Final answer
    x = 46,041.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.