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Finding the Third Proportional to 27,128 and 63,380

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Solution

The third proportional to 27,128 and 63,380 is: 148,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128 : 63,380 = 63,380 : x
  2. Step 2: Convert to fraction form
    27,128/63,380 = 63,380/x
  3. Step 3: Cross multiply
    27,128x = 63,380 × 63,380
  4. Step 4: Simplify right side
    27,128x = 4,017,024,400
  5. Step 5: Solve for x
    x = 4,017,024,400/27,128
  6. Step 6: Final answer
    x = 148,076.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.