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Finding the Third Proportional to 19,491.84 and 31,025.44

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Solution

The third proportional to 19,491.84 and 31,025.44 is: 49,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491.84 : 31,025.44 = 31,025.44 : x
  2. Step 2: Convert to fraction form
    19,491.84/31,025.44 = 31,025.44/x
  3. Step 3: Cross multiply
    19,491.84x = 31,025.44 × 31,025.44
  4. Step 4: Simplify right side
    19,491.84x = 962,577,772.07
  5. Step 5: Solve for x
    x = 962,577,772.07/19,491.84
  6. Step 6: Final answer
    x = 49,383.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.