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Finding the Third Proportional to 12,136.92 and 26,017.03

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Solution

The third proportional to 12,136.92 and 26,017.03 is: 55,770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.92 : 26,017.03 = 26,017.03 : x
  2. Step 2: Convert to fraction form
    12,136.92/26,017.03 = 26,017.03/x
  3. Step 3: Cross multiply
    12,136.92x = 26,017.03 × 26,017.03
  4. Step 4: Simplify right side
    12,136.92x = 676,885,915.06
  5. Step 5: Solve for x
    x = 676,885,915.06/12,136.92
  6. Step 6: Final answer
    x = 55,770.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.