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Finding the Third Proportional to 12,196.16 and 18,294.23

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Solution

The third proportional to 12,196.16 and 18,294.23 is: 27,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.16 : 18,294.23 = 18,294.23 : x
  2. Step 2: Convert to fraction form
    12,196.16/18,294.23 = 18,294.23/x
  3. Step 3: Cross multiply
    12,196.16x = 18,294.23 × 18,294.23
  4. Step 4: Simplify right side
    12,196.16x = 334,678,984.57
  5. Step 5: Solve for x
    x = 334,678,984.57/12,196.16
  6. Step 6: Final answer
    x = 27,441.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.