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Finding the Third Proportional to 14,709.09 and 19,819.69

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Solution

The third proportional to 14,709.09 and 19,819.69 is: 26,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.09 : 19,819.69 = 19,819.69 : x
  2. Step 2: Convert to fraction form
    14,709.09/19,819.69 = 19,819.69/x
  3. Step 3: Cross multiply
    14,709.09x = 19,819.69 × 19,819.69
  4. Step 4: Simplify right side
    14,709.09x = 392,820,012.60
  5. Step 5: Solve for x
    x = 392,820,012.60/14,709.09
  6. Step 6: Final answer
    x = 26,705.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.