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Finding the Third Proportional to 29,120 and 43,921

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Solution

The third proportional to 29,120 and 43,921 is: 66,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,120 : 43,921 = 43,921 : x
  2. Step 2: Convert to fraction form
    29,120/43,921 = 43,921/x
  3. Step 3: Cross multiply
    29,120x = 43,921 × 43,921
  4. Step 4: Simplify right side
    29,120x = 1,929,054,241
  5. Step 5: Solve for x
    x = 1,929,054,241/29,120
  6. Step 6: Final answer
    x = 66,244.99

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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.