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Finding the Third Proportional to 29,200 and 43,996

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Solution

The third proportional to 29,200 and 43,996 is: 66,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,200 : 43,996 = 43,996 : x
  2. Step 2: Convert to fraction form
    29,200/43,996 = 43,996/x
  3. Step 3: Cross multiply
    29,200x = 43,996 × 43,996
  4. Step 4: Simplify right side
    29,200x = 1,935,648,016
  5. Step 5: Solve for x
    x = 1,935,648,016/29,200
  6. Step 6: Final answer
    x = 66,289.32

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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.