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Finding the Third Proportional to 27,312 and 57,564

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Solution

The third proportional to 27,312 and 57,564 is: 121,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312 : 57,564 = 57,564 : x
  2. Step 2: Convert to fraction form
    27,312/57,564 = 57,564/x
  3. Step 3: Cross multiply
    27,312x = 57,564 × 57,564
  4. Step 4: Simplify right side
    27,312x = 3,313,614,096
  5. Step 5: Solve for x
    x = 3,313,614,096/27,312
  6. Step 6: Final answer
    x = 121,324.48

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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.