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Finding the Third Proportional to 10,439.51 and 19,819.69

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Solution

The third proportional to 10,439.51 and 19,819.69 is: 37,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.51 : 19,819.69 = 19,819.69 : x
  2. Step 2: Convert to fraction form
    10,439.51/19,819.69 = 19,819.69/x
  3. Step 3: Cross multiply
    10,439.51x = 19,819.69 × 19,819.69
  4. Step 4: Simplify right side
    10,439.51x = 392,820,012.60
  5. Step 5: Solve for x
    x = 392,820,012.60/10,439.51
  6. Step 6: Final answer
    x = 37,628.21

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.