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Finding the Third Proportional to 19,136.25 and 26,220.38

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Solution

The third proportional to 19,136.25 and 26,220.38 is: 35,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.25 : 26,220.38 = 26,220.38 : x
  2. Step 2: Convert to fraction form
    19,136.25/26,220.38 = 26,220.38/x
  3. Step 3: Cross multiply
    19,136.25x = 26,220.38 × 26,220.38
  4. Step 4: Simplify right side
    19,136.25x = 687,508,065.14
  5. Step 5: Solve for x
    x = 687,508,065.14/19,136.25
  6. Step 6: Final answer
    x = 35,927.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.