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Finding the Third Proportional to 20,116.16 and 29,558.04

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Solution

The third proportional to 20,116.16 and 29,558.04 is: 43,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116.16 : 29,558.04 = 29,558.04 : x
  2. Step 2: Convert to fraction form
    20,116.16/29,558.04 = 29,558.04/x
  3. Step 3: Cross multiply
    20,116.16x = 29,558.04 × 29,558.04
  4. Step 4: Simplify right side
    20,116.16x = 873,677,673.22
  5. Step 5: Solve for x
    x = 873,677,673.22/20,116.16
  6. Step 6: Final answer
    x = 43,431.63

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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.