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Finding the Third Proportional to 40,364 and 66,706

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Solution

The third proportional to 40,364 and 66,706 is: 110,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,364 : 66,706 = 66,706 : x
  2. Step 2: Convert to fraction form
    40,364/66,706 = 66,706/x
  3. Step 3: Cross multiply
    40,364x = 66,706 × 66,706
  4. Step 4: Simplify right side
    40,364x = 4,449,690,436
  5. Step 5: Solve for x
    x = 4,449,690,436/40,364
  6. Step 6: Final answer
    x = 110,239.09

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.