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Finding the Third Proportional to 12,639.38 and 19,657.69

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Solution

The third proportional to 12,639.38 and 19,657.69 is: 30,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,639.38 : 19,657.69 = 19,657.69 : x
  2. Step 2: Convert to fraction form
    12,639.38/19,657.69 = 19,657.69/x
  3. Step 3: Cross multiply
    12,639.38x = 19,657.69 × 19,657.69
  4. Step 4: Simplify right side
    12,639.38x = 386,424,677.85
  5. Step 5: Solve for x
    x = 386,424,677.85/12,639.38
  6. Step 6: Final answer
    x = 30,573.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.