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Finding the Third Proportional to 4,698.63 and 7,799.73

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Solution

The third proportional to 4,698.63 and 7,799.73 is: 12,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.63 : 7,799.73 = 7,799.73 : x
  2. Step 2: Convert to fraction form
    4,698.63/7,799.73 = 7,799.73/x
  3. Step 3: Cross multiply
    4,698.63x = 7,799.73 × 7,799.73
  4. Step 4: Simplify right side
    4,698.63x = 60,835,795.39
  5. Step 5: Solve for x
    x = 60,835,795.39/4,698.63
  6. Step 6: Final answer
    x = 12,947.55

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.