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Finding the Third Proportional to 29,601 and 43,950

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Solution

The third proportional to 29,601 and 43,950 is: 65,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,601 : 43,950 = 43,950 : x
  2. Step 2: Convert to fraction form
    29,601/43,950 = 43,950/x
  3. Step 3: Cross multiply
    29,601x = 43,950 × 43,950
  4. Step 4: Simplify right side
    29,601x = 1,931,602,500
  5. Step 5: Solve for x
    x = 1,931,602,500/29,601
  6. Step 6: Final answer
    x = 65,254.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.