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Finding the Third Proportional to 27,371 and 39,139

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Solution

The third proportional to 27,371 and 39,139 is: 55,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,371 : 39,139 = 39,139 : x
  2. Step 2: Convert to fraction form
    27,371/39,139 = 39,139/x
  3. Step 3: Cross multiply
    27,371x = 39,139 × 39,139
  4. Step 4: Simplify right side
    27,371x = 1,531,861,321
  5. Step 5: Solve for x
    x = 1,531,861,321/27,371
  6. Step 6: Final answer
    x = 55,966.58

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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.