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Finding the Third Proportional to 19,570.75 and 27,977.38

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Solution

The third proportional to 19,570.75 and 27,977.38 is: 39,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.75 : 27,977.38 = 27,977.38 : x
  2. Step 2: Convert to fraction form
    19,570.75/27,977.38 = 27,977.38/x
  3. Step 3: Cross multiply
    19,570.75x = 27,977.38 × 27,977.38
  4. Step 4: Simplify right side
    19,570.75x = 782,733,511.89
  5. Step 5: Solve for x
    x = 782,733,511.89/19,570.75
  6. Step 6: Final answer
    x = 39,995.07

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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.