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Finding the Third Proportional to 27,342 and 62,271

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Solution

The third proportional to 27,342 and 62,271 is: 141,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 62,271 = 62,271 : x
  2. Step 2: Convert to fraction form
    27,342/62,271 = 62,271/x
  3. Step 3: Cross multiply
    27,342x = 62,271 × 62,271
  4. Step 4: Simplify right side
    27,342x = 3,877,677,441
  5. Step 5: Solve for x
    x = 3,877,677,441/27,342
  6. Step 6: Final answer
    x = 141,821.28

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.