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Finding the Third Proportional to 19,136.25 and 27,948.38

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Solution

The third proportional to 19,136.25 and 27,948.38 is: 40,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.25 : 27,948.38 = 27,948.38 : x
  2. Step 2: Convert to fraction form
    19,136.25/27,948.38 = 27,948.38/x
  3. Step 3: Cross multiply
    19,136.25x = 27,948.38 × 27,948.38
  4. Step 4: Simplify right side
    19,136.25x = 781,111,665.14
  5. Step 5: Solve for x
    x = 781,111,665.14/19,136.25
  6. Step 6: Final answer
    x = 40,818.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.