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Finding the Third Proportional to 29,179 and 44,114

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Solution

The third proportional to 29,179 and 44,114 is: 66,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,179 : 44,114 = 44,114 : x
  2. Step 2: Convert to fraction form
    29,179/44,114 = 44,114/x
  3. Step 3: Cross multiply
    29,179x = 44,114 × 44,114
  4. Step 4: Simplify right side
    29,179x = 1,946,044,996
  5. Step 5: Solve for x
    x = 1,946,044,996/29,179
  6. Step 6: Final answer
    x = 66,693.34

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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.