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Finding the Third Proportional to 6,136.50 and 13,243.88

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Solution

The third proportional to 6,136.50 and 13,243.88 is: 28,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.50 : 13,243.88 = 13,243.88 : x
  2. Step 2: Convert to fraction form
    6,136.50/13,243.88 = 13,243.88/x
  3. Step 3: Cross multiply
    6,136.50x = 13,243.88 × 13,243.88
  4. Step 4: Simplify right side
    6,136.50x = 175,400,225.02
  5. Step 5: Solve for x
    x = 175,400,225.02/6,136.50
  6. Step 6: Final answer
    x = 28,583.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.