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Finding the Third Proportional to 4,842 and 10,344.94

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Solution

The third proportional to 4,842 and 10,344.94 is: 22,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842 : 10,344.94 = 10,344.94 : x
  2. Step 2: Convert to fraction form
    4,842/10,344.94 = 10,344.94/x
  3. Step 3: Cross multiply
    4,842x = 10,344.94 × 10,344.94
  4. Step 4: Simplify right side
    4,842x = 107,017,731.88
  5. Step 5: Solve for x
    x = 107,017,731.88/4,842
  6. Step 6: Final answer
    x = 22,101.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.