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Finding the Third Proportional to 29,671 and 60,444

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Solution

The third proportional to 29,671 and 60,444 is: 123,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671 : 60,444 = 60,444 : x
  2. Step 2: Convert to fraction form
    29,671/60,444 = 60,444/x
  3. Step 3: Cross multiply
    29,671x = 60,444 × 60,444
  4. Step 4: Simplify right side
    29,671x = 3,653,477,136
  5. Step 5: Solve for x
    x = 3,653,477,136/29,671
  6. Step 6: Final answer
    x = 123,132.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.