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Finding the Third Proportional to 35,683 and 76,306

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Solution

The third proportional to 35,683 and 76,306 is: 163,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,683 : 76,306 = 76,306 : x
  2. Step 2: Convert to fraction form
    35,683/76,306 = 76,306/x
  3. Step 3: Cross multiply
    35,683x = 76,306 × 76,306
  4. Step 4: Simplify right side
    35,683x = 5,822,605,636
  5. Step 5: Solve for x
    x = 5,822,605,636/35,683
  6. Step 6: Final answer
    x = 163,175.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.