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Finding the Third Proportional to 9,780.75 and 21,546

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Solution

The third proportional to 9,780.75 and 21,546 is: 47,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.75 : 21,546 = 21,546 : x
  2. Step 2: Convert to fraction form
    9,780.75/21,546 = 21,546/x
  3. Step 3: Cross multiply
    9,780.75x = 21,546 × 21,546
  4. Step 4: Simplify right side
    9,780.75x = 464,230,116
  5. Step 5: Solve for x
    x = 464,230,116/9,780.75
  6. Step 6: Final answer
    x = 47,463.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.