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Finding the Third Proportional to 19,914.19 and 29,917.69

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Solution

The third proportional to 19,914.19 and 29,917.69 is: 44,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.19 : 29,917.69 = 29,917.69 : x
  2. Step 2: Convert to fraction form
    19,914.19/29,917.69 = 29,917.69/x
  3. Step 3: Cross multiply
    19,914.19x = 29,917.69 × 29,917.69
  4. Step 4: Simplify right side
    19,914.19x = 895,068,025.35
  5. Step 5: Solve for x
    x = 895,068,025.35/19,914.19
  6. Step 6: Final answer
    x = 44,946.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.