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Finding the Third Proportional to 7,848 and 12,330

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Solution

The third proportional to 7,848 and 12,330 is: 19,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 12,330 = 12,330 : x
  2. Step 2: Convert to fraction form
    7,848/12,330 = 12,330/x
  3. Step 3: Cross multiply
    7,848x = 12,330 × 12,330
  4. Step 4: Simplify right side
    7,848x = 152,028,900
  5. Step 5: Solve for x
    x = 152,028,900/7,848
  6. Step 6: Final answer
    x = 19,371.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.