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Finding the Third Proportional to 31,094 and 66,338

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Solution

The third proportional to 31,094 and 66,338 is: 141,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094 : 66,338 = 66,338 : x
  2. Step 2: Convert to fraction form
    31,094/66,338 = 66,338/x
  3. Step 3: Cross multiply
    31,094x = 66,338 × 66,338
  4. Step 4: Simplify right side
    31,094x = 4,400,730,244
  5. Step 5: Solve for x
    x = 4,400,730,244/31,094
  6. Step 6: Final answer
    x = 141,529.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.