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Finding the Third Proportional to 29,606 and 43,957

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Solution

The third proportional to 29,606 and 43,957 is: 65,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,606 : 43,957 = 43,957 : x
  2. Step 2: Convert to fraction form
    29,606/43,957 = 43,957/x
  3. Step 3: Cross multiply
    29,606x = 43,957 × 43,957
  4. Step 4: Simplify right side
    29,606x = 1,932,217,849
  5. Step 5: Solve for x
    x = 1,932,217,849/29,606
  6. Step 6: Final answer
    x = 65,264.40

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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.