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Finding the Third Proportional to 29,440 and 43,760

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Solution

The third proportional to 29,440 and 43,760 is: 65,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,440 : 43,760 = 43,760 : x
  2. Step 2: Convert to fraction form
    29,440/43,760 = 43,760/x
  3. Step 3: Cross multiply
    29,440x = 43,760 × 43,760
  4. Step 4: Simplify right side
    29,440x = 1,914,937,600
  5. Step 5: Solve for x
    x = 1,914,937,600/29,440
  6. Step 6: Final answer
    x = 65,045.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.