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Finding the Third Proportional to 27,374 and 39,142

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Solution

The third proportional to 27,374 and 39,142 is: 55,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374 : 39,142 = 39,142 : x
  2. Step 2: Convert to fraction form
    27,374/39,142 = 39,142/x
  3. Step 3: Cross multiply
    27,374x = 39,142 × 39,142
  4. Step 4: Simplify right side
    27,374x = 1,532,096,164
  5. Step 5: Solve for x
    x = 1,532,096,164/27,374
  6. Step 6: Final answer
    x = 55,969.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.