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Finding the Third Proportional to 12,548.53 and 26,136.84

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Solution

The third proportional to 12,548.53 and 26,136.84 is: 54,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.53 : 26,136.84 = 26,136.84 : x
  2. Step 2: Convert to fraction form
    12,548.53/26,136.84 = 26,136.84/x
  3. Step 3: Cross multiply
    12,548.53x = 26,136.84 × 26,136.84
  4. Step 4: Simplify right side
    12,548.53x = 683,134,601.21
  5. Step 5: Solve for x
    x = 683,134,601.21/12,548.53
  6. Step 6: Final answer
    x = 54,439.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.