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Finding the Third Proportional to 29,468 and 44,632

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Solution

The third proportional to 29,468 and 44,632 is: 67,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,468 : 44,632 = 44,632 : x
  2. Step 2: Convert to fraction form
    29,468/44,632 = 44,632/x
  3. Step 3: Cross multiply
    29,468x = 44,632 × 44,632
  4. Step 4: Simplify right side
    29,468x = 1,992,015,424
  5. Step 5: Solve for x
    x = 1,992,015,424/29,468
  6. Step 6: Final answer
    x = 67,599.27

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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.