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Finding the Third Proportional to 14,164 and 27,976

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Solution

The third proportional to 14,164 and 27,976 is: 55,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164 : 27,976 = 27,976 : x
  2. Step 2: Convert to fraction form
    14,164/27,976 = 27,976/x
  3. Step 3: Cross multiply
    14,164x = 27,976 × 27,976
  4. Step 4: Simplify right side
    14,164x = 782,656,576
  5. Step 5: Solve for x
    x = 782,656,576/14,164
  6. Step 6: Final answer
    x = 55,256.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.