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Finding the Third Proportional to 7,841 and 18,963.75

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Solution

The third proportional to 7,841 and 18,963.75 is: 45,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841 : 18,963.75 = 18,963.75 : x
  2. Step 2: Convert to fraction form
    7,841/18,963.75 = 18,963.75/x
  3. Step 3: Cross multiply
    7,841x = 18,963.75 × 18,963.75
  4. Step 4: Simplify right side
    7,841x = 359,623,814.06
  5. Step 5: Solve for x
    x = 359,623,814.06/7,841
  6. Step 6: Final answer
    x = 45,864.53

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.