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Finding the Third Proportional to 20,129.34 and 29,500.03

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Solution

The third proportional to 20,129.34 and 29,500.03 is: 43,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.34 : 29,500.03 = 29,500.03 : x
  2. Step 2: Convert to fraction form
    20,129.34/29,500.03 = 29,500.03/x
  3. Step 3: Cross multiply
    20,129.34x = 29,500.03 × 29,500.03
  4. Step 4: Simplify right side
    20,129.34x = 870,251,843.75
  5. Step 5: Solve for x
    x = 870,251,843.75/20,129.34
  6. Step 6: Final answer
    x = 43,233.00

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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.