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Finding the Third Proportional to 12,176.44 and 18,264.94

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Solution

The third proportional to 12,176.44 and 18,264.94 is: 27,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.44 : 18,264.94 = 18,264.94 : x
  2. Step 2: Convert to fraction form
    12,176.44/18,264.94 = 18,264.94/x
  3. Step 3: Cross multiply
    12,176.44x = 18,264.94 × 18,264.94
  4. Step 4: Simplify right side
    12,176.44x = 333,607,941.88
  5. Step 5: Solve for x
    x = 333,607,941.88/12,176.44
  6. Step 6: Final answer
    x = 27,397.83

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Why These Related Problems?

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