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Finding the Third Proportional to 30,983 and 66,934

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Solution

The third proportional to 30,983 and 66,934 is: 144,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983 : 66,934 = 66,934 : x
  2. Step 2: Convert to fraction form
    30,983/66,934 = 66,934/x
  3. Step 3: Cross multiply
    30,983x = 66,934 × 66,934
  4. Step 4: Simplify right side
    30,983x = 4,480,160,356
  5. Step 5: Solve for x
    x = 4,480,160,356/30,983
  6. Step 6: Final answer
    x = 144,600.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.