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Finding the Third Proportional to 44,852 and 71,382

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Solution

The third proportional to 44,852 and 71,382 is: 113,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,852 : 71,382 = 71,382 : x
  2. Step 2: Convert to fraction form
    44,852/71,382 = 71,382/x
  3. Step 3: Cross multiply
    44,852x = 71,382 × 71,382
  4. Step 4: Simplify right side
    44,852x = 5,095,389,924
  5. Step 5: Solve for x
    x = 5,095,389,924/44,852
  6. Step 6: Final answer
    x = 113,604.52

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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.