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Finding the Third Proportional to 44,658 and 60,647

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Solution

The third proportional to 44,658 and 60,647 is: 82,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,658 : 60,647 = 60,647 : x
  2. Step 2: Convert to fraction form
    44,658/60,647 = 60,647/x
  3. Step 3: Cross multiply
    44,658x = 60,647 × 60,647
  4. Step 4: Simplify right side
    44,658x = 3,678,058,609
  5. Step 5: Solve for x
    x = 3,678,058,609/44,658
  6. Step 6: Final answer
    x = 82,360.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.