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Finding the Third Proportional to 19,136.25 and 28,719

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Solution

The third proportional to 19,136.25 and 28,719 is: 43,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.25 : 28,719 = 28,719 : x
  2. Step 2: Convert to fraction form
    19,136.25/28,719 = 28,719/x
  3. Step 3: Cross multiply
    19,136.25x = 28,719 × 28,719
  4. Step 4: Simplify right side
    19,136.25x = 824,780,961
  5. Step 5: Solve for x
    x = 824,780,961/19,136.25
  6. Step 6: Final answer
    x = 43,100.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.