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Finding the Third Proportional to 9,078 and 12,085

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Solution

The third proportional to 9,078 and 12,085 is: 16,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078 : 12,085 = 12,085 : x
  2. Step 2: Convert to fraction form
    9,078/12,085 = 12,085/x
  3. Step 3: Cross multiply
    9,078x = 12,085 × 12,085
  4. Step 4: Simplify right side
    9,078x = 146,047,225
  5. Step 5: Solve for x
    x = 146,047,225/9,078
  6. Step 6: Final answer
    x = 16,088.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.