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Finding the Third Proportional to 35,084 and 66,934

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Solution

The third proportional to 35,084 and 66,934 is: 127,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,084 : 66,934 = 66,934 : x
  2. Step 2: Convert to fraction form
    35,084/66,934 = 66,934/x
  3. Step 3: Cross multiply
    35,084x = 66,934 × 66,934
  4. Step 4: Simplify right side
    35,084x = 4,480,160,356
  5. Step 5: Solve for x
    x = 4,480,160,356/35,084
  6. Step 6: Final answer
    x = 127,698.11

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.