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Finding the Third Proportional to 44,536 and 71,016

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Solution

The third proportional to 44,536 and 71,016 is: 113,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,536 : 71,016 = 71,016 : x
  2. Step 2: Convert to fraction form
    44,536/71,016 = 71,016/x
  3. Step 3: Cross multiply
    44,536x = 71,016 × 71,016
  4. Step 4: Simplify right side
    44,536x = 5,043,272,256
  5. Step 5: Solve for x
    x = 5,043,272,256/44,536
  6. Step 6: Final answer
    x = 113,240.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.