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Finding the Third Proportional to 29,727 and 43,254

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Solution

The third proportional to 29,727 and 43,254 is: 62,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727 : 43,254 = 43,254 : x
  2. Step 2: Convert to fraction form
    29,727/43,254 = 43,254/x
  3. Step 3: Cross multiply
    29,727x = 43,254 × 43,254
  4. Step 4: Simplify right side
    29,727x = 1,870,908,516
  5. Step 5: Solve for x
    x = 1,870,908,516/29,727
  6. Step 6: Final answer
    x = 62,936.34

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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.