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Finding the Third Proportional to 27,288 and 57,492

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Solution

The third proportional to 27,288 and 57,492 is: 121,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,288 : 57,492 = 57,492 : x
  2. Step 2: Convert to fraction form
    27,288/57,492 = 57,492/x
  3. Step 3: Cross multiply
    27,288x = 57,492 × 57,492
  4. Step 4: Simplify right side
    27,288x = 3,305,330,064
  5. Step 5: Solve for x
    x = 3,305,330,064/27,288
  6. Step 6: Final answer
    x = 121,127.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.