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Finding the Third Proportional to 20,300.50 and 29,819

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Solution

The third proportional to 20,300.50 and 29,819 is: 43,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,300.50 : 29,819 = 29,819 : x
  2. Step 2: Convert to fraction form
    20,300.50/29,819 = 29,819/x
  3. Step 3: Cross multiply
    20,300.50x = 29,819 × 29,819
  4. Step 4: Simplify right side
    20,300.50x = 889,172,761
  5. Step 5: Solve for x
    x = 889,172,761/20,300.50
  6. Step 6: Final answer
    x = 43,800.54

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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.