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Finding the Third Proportional to 9,548 and 17,764

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Solution

The third proportional to 9,548 and 17,764 is: 33,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548 : 17,764 = 17,764 : x
  2. Step 2: Convert to fraction form
    9,548/17,764 = 17,764/x
  3. Step 3: Cross multiply
    9,548x = 17,764 × 17,764
  4. Step 4: Simplify right side
    9,548x = 315,559,696
  5. Step 5: Solve for x
    x = 315,559,696/9,548
  6. Step 6: Final answer
    x = 33,049.82

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.