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Finding the Third Proportional to 9,054 and 12,339

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Solution

The third proportional to 9,054 and 12,339 is: 16,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 12,339 = 12,339 : x
  2. Step 2: Convert to fraction form
    9,054/12,339 = 12,339/x
  3. Step 3: Cross multiply
    9,054x = 12,339 × 12,339
  4. Step 4: Simplify right side
    9,054x = 152,250,921
  5. Step 5: Solve for x
    x = 152,250,921/9,054
  6. Step 6: Final answer
    x = 16,815.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.