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Finding the Third Proportional to 7,832 and 12,135

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Solution

The third proportional to 7,832 and 12,135 is: 18,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 12,135 = 12,135 : x
  2. Step 2: Convert to fraction form
    7,832/12,135 = 12,135/x
  3. Step 3: Cross multiply
    7,832x = 12,135 × 12,135
  4. Step 4: Simplify right side
    7,832x = 147,258,225
  5. Step 5: Solve for x
    x = 147,258,225/7,832
  6. Step 6: Final answer
    x = 18,802.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.