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Finding the Third Proportional to 20,445.75 and 29,995.31

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Solution

The third proportional to 20,445.75 and 29,995.31 is: 44,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,445.75 : 29,995.31 = 29,995.31 : x
  2. Step 2: Convert to fraction form
    20,445.75/29,995.31 = 29,995.31/x
  3. Step 3: Cross multiply
    20,445.75x = 29,995.31 × 29,995.31
  4. Step 4: Simplify right side
    20,445.75x = 899,718,771.97
  5. Step 5: Solve for x
    x = 899,718,771.97/20,445.75
  6. Step 6: Final answer
    x = 44,005.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.