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Finding the Third Proportional to 9,738 and 16,239

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Solution

The third proportional to 9,738 and 16,239 is: 27,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 16,239 = 16,239 : x
  2. Step 2: Convert to fraction form
    9,738/16,239 = 16,239/x
  3. Step 3: Cross multiply
    9,738x = 16,239 × 16,239
  4. Step 4: Simplify right side
    9,738x = 263,705,121
  5. Step 5: Solve for x
    x = 263,705,121/9,738
  6. Step 6: Final answer
    x = 27,080.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.