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Finding the Third Proportional to 29,734 and 43,534

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Solution

The third proportional to 29,734 and 43,534 is: 63,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734 : 43,534 = 43,534 : x
  2. Step 2: Convert to fraction form
    29,734/43,534 = 43,534/x
  3. Step 3: Cross multiply
    29,734x = 43,534 × 43,534
  4. Step 4: Simplify right side
    29,734x = 1,895,209,156
  5. Step 5: Solve for x
    x = 1,895,209,156/29,734
  6. Step 6: Final answer
    x = 63,738.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.