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Finding the Third Proportional to 47,827 and 104,265.75

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Solution

The third proportional to 47,827 and 104,265.75 is: 227,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,827 : 104,265.75 = 104,265.75 : x
  2. Step 2: Convert to fraction form
    47,827/104,265.75 = 104,265.75/x
  3. Step 3: Cross multiply
    47,827x = 104,265.75 × 104,265.75
  4. Step 4: Simplify right side
    47,827x = 10,871,346,623.06
  5. Step 5: Solve for x
    x = 10,871,346,623.06/47,827
  6. Step 6: Final answer
    x = 227,305.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.