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Finding the Third Proportional to 9,852 and 14,830

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Solution

The third proportional to 9,852 and 14,830 is: 22,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852 : 14,830 = 14,830 : x
  2. Step 2: Convert to fraction form
    9,852/14,830 = 14,830/x
  3. Step 3: Cross multiply
    9,852x = 14,830 × 14,830
  4. Step 4: Simplify right side
    9,852x = 219,928,900
  5. Step 5: Solve for x
    x = 219,928,900/9,852
  6. Step 6: Final answer
    x = 22,323.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.