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Finding the Third Proportional to 29,583 and 44,682

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Solution

The third proportional to 29,583 and 44,682 is: 67,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,583 : 44,682 = 44,682 : x
  2. Step 2: Convert to fraction form
    29,583/44,682 = 44,682/x
  3. Step 3: Cross multiply
    29,583x = 44,682 × 44,682
  4. Step 4: Simplify right side
    29,583x = 1,996,481,124
  5. Step 5: Solve for x
    x = 1,996,481,124/29,583
  6. Step 6: Final answer
    x = 67,487.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.