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Finding the Third Proportional to 30,683 and 48,497

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Solution

The third proportional to 30,683 and 48,497 is: 76,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683 : 48,497 = 48,497 : x
  2. Step 2: Convert to fraction form
    30,683/48,497 = 48,497/x
  3. Step 3: Cross multiply
    30,683x = 48,497 × 48,497
  4. Step 4: Simplify right side
    30,683x = 2,351,959,009
  5. Step 5: Solve for x
    x = 2,351,959,009/30,683
  6. Step 6: Final answer
    x = 76,653.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.