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Finding the Third Proportional to 29,754 and 43,815

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Solution

The third proportional to 29,754 and 43,815 is: 64,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754 : 43,815 = 43,815 : x
  2. Step 2: Convert to fraction form
    29,754/43,815 = 43,815/x
  3. Step 3: Cross multiply
    29,754x = 43,815 × 43,815
  4. Step 4: Simplify right side
    29,754x = 1,919,754,225
  5. Step 5: Solve for x
    x = 1,919,754,225/29,754
  6. Step 6: Final answer
    x = 64,520.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.