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Finding the Third Proportional to 10,136.23 and 16,141.23

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Solution

The third proportional to 10,136.23 and 16,141.23 is: 25,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.23 : 16,141.23 = 16,141.23 : x
  2. Step 2: Convert to fraction form
    10,136.23/16,141.23 = 16,141.23/x
  3. Step 3: Cross multiply
    10,136.23x = 16,141.23 × 16,141.23
  4. Step 4: Simplify right side
    10,136.23x = 260,539,226.47
  5. Step 5: Solve for x
    x = 260,539,226.47/10,136.23
  6. Step 6: Final answer
    x = 25,703.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.