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Finding the Third Proportional to 27,402 and 40,238

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Solution

The third proportional to 27,402 and 40,238 is: 59,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402 : 40,238 = 40,238 : x
  2. Step 2: Convert to fraction form
    27,402/40,238 = 40,238/x
  3. Step 3: Cross multiply
    27,402x = 40,238 × 40,238
  4. Step 4: Simplify right side
    27,402x = 1,619,096,644
  5. Step 5: Solve for x
    x = 1,619,096,644/27,402
  6. Step 6: Final answer
    x = 59,086.81

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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.