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Finding the Third Proportional to 35,440 and 76,698

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Solution

The third proportional to 35,440 and 76,698 is: 165,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,440 : 76,698 = 76,698 : x
  2. Step 2: Convert to fraction form
    35,440/76,698 = 76,698/x
  3. Step 3: Cross multiply
    35,440x = 76,698 × 76,698
  4. Step 4: Simplify right side
    35,440x = 5,882,583,204
  5. Step 5: Solve for x
    x = 5,882,583,204/35,440
  6. Step 6: Final answer
    x = 165,987.11

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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.