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Finding the Third Proportional to 19,327.50 and 29,259.56

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Solution

The third proportional to 19,327.50 and 29,259.56 is: 44,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,327.50 : 29,259.56 = 29,259.56 : x
  2. Step 2: Convert to fraction form
    19,327.50/29,259.56 = 29,259.56/x
  3. Step 3: Cross multiply
    19,327.50x = 29,259.56 × 29,259.56
  4. Step 4: Simplify right side
    19,327.50x = 856,121,997.69
  5. Step 5: Solve for x
    x = 856,121,997.69/19,327.50
  6. Step 6: Final answer
    x = 44,295.54

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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.