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Finding the Third Proportional to 44,851 and 71,381

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Solution

The third proportional to 44,851 and 71,381 is: 113,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,851 : 71,381 = 71,381 : x
  2. Step 2: Convert to fraction form
    44,851/71,381 = 71,381/x
  3. Step 3: Cross multiply
    44,851x = 71,381 × 71,381
  4. Step 4: Simplify right side
    44,851x = 5,095,247,161
  5. Step 5: Solve for x
    x = 5,095,247,161/44,851
  6. Step 6: Final answer
    x = 113,603.87

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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.