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Finding the Third Proportional to 19,569.09 and 27,975.38

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Solution

The third proportional to 19,569.09 and 27,975.38 is: 39,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,569.09 : 27,975.38 = 27,975.38 : x
  2. Step 2: Convert to fraction form
    19,569.09/27,975.38 = 27,975.38/x
  3. Step 3: Cross multiply
    19,569.09x = 27,975.38 × 27,975.38
  4. Step 4: Simplify right side
    19,569.09x = 782,621,606.39
  5. Step 5: Solve for x
    x = 782,621,606.39/19,569.09
  6. Step 6: Final answer
    x = 39,992.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.