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Finding the Third Proportional to 29,122 and 44,532

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Solution

The third proportional to 29,122 and 44,532 is: 68,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,122 : 44,532 = 44,532 : x
  2. Step 2: Convert to fraction form
    29,122/44,532 = 44,532/x
  3. Step 3: Cross multiply
    29,122x = 44,532 × 44,532
  4. Step 4: Simplify right side
    29,122x = 1,983,099,024
  5. Step 5: Solve for x
    x = 1,983,099,024/29,122
  6. Step 6: Final answer
    x = 68,096.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.