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Finding the Third Proportional to 30,731.63 and 62,591.06

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Solution

The third proportional to 30,731.63 and 62,591.06 is: 127,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.63 : 62,591.06 = 62,591.06 : x
  2. Step 2: Convert to fraction form
    30,731.63/62,591.06 = 62,591.06/x
  3. Step 3: Cross multiply
    30,731.63x = 62,591.06 × 62,591.06
  4. Step 4: Simplify right side
    30,731.63x = 3,917,641,104.88
  5. Step 5: Solve for x
    x = 3,917,641,104.88/30,731.63
  6. Step 6: Final answer
    x = 127,479.14

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.