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Finding the Third Proportional to 14,586 and 27,136.50

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Solution

The third proportional to 14,586 and 27,136.50 is: 50,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586 : 27,136.50 = 27,136.50 : x
  2. Step 2: Convert to fraction form
    14,586/27,136.50 = 27,136.50/x
  3. Step 3: Cross multiply
    14,586x = 27,136.50 × 27,136.50
  4. Step 4: Simplify right side
    14,586x = 736,389,632.25
  5. Step 5: Solve for x
    x = 736,389,632.25/14,586
  6. Step 6: Final answer
    x = 50,486.06

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.