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Finding the Third Proportional to 9,576 and 14,790

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Solution

The third proportional to 9,576 and 14,790 is: 22,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 14,790 = 14,790 : x
  2. Step 2: Convert to fraction form
    9,576/14,790 = 14,790/x
  3. Step 3: Cross multiply
    9,576x = 14,790 × 14,790
  4. Step 4: Simplify right side
    9,576x = 218,744,100
  5. Step 5: Solve for x
    x = 218,744,100/9,576
  6. Step 6: Final answer
    x = 22,842.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.