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Finding the Third Proportional to 29,111 and 44,207

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Solution

The third proportional to 29,111 and 44,207 is: 67,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,111 : 44,207 = 44,207 : x
  2. Step 2: Convert to fraction form
    29,111/44,207 = 44,207/x
  3. Step 3: Cross multiply
    29,111x = 44,207 × 44,207
  4. Step 4: Simplify right side
    29,111x = 1,954,258,849
  5. Step 5: Solve for x
    x = 1,954,258,849/29,111
  6. Step 6: Final answer
    x = 67,131.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.