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Finding the Third Proportional to 6,102 and 11,520

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Solution

The third proportional to 6,102 and 11,520 is: 21,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102 : 11,520 = 11,520 : x
  2. Step 2: Convert to fraction form
    6,102/11,520 = 11,520/x
  3. Step 3: Cross multiply
    6,102x = 11,520 × 11,520
  4. Step 4: Simplify right side
    6,102x = 132,710,400
  5. Step 5: Solve for x
    x = 132,710,400/6,102
  6. Step 6: Final answer
    x = 21,748.67

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.