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Finding the Third Proportional to 47,963 and 71,013

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Solution

The third proportional to 47,963 and 71,013 is: 105,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,963 : 71,013 = 71,013 : x
  2. Step 2: Convert to fraction form
    47,963/71,013 = 71,013/x
  3. Step 3: Cross multiply
    47,963x = 71,013 × 71,013
  4. Step 4: Simplify right side
    47,963x = 5,042,846,169
  5. Step 5: Solve for x
    x = 5,042,846,169/47,963
  6. Step 6: Final answer
    x = 105,140.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.