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Finding the Third Proportional to 19,674.75 and 29,622.75

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Solution

The third proportional to 19,674.75 and 29,622.75 is: 44,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.75 : 29,622.75 = 29,622.75 : x
  2. Step 2: Convert to fraction form
    19,674.75/29,622.75 = 29,622.75/x
  3. Step 3: Cross multiply
    19,674.75x = 29,622.75 × 29,622.75
  4. Step 4: Simplify right side
    19,674.75x = 877,507,317.56
  5. Step 5: Solve for x
    x = 877,507,317.56/19,674.75
  6. Step 6: Final answer
    x = 44,600.68

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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.