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Finding the Third Proportional to 30,631 and 48,863

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Solution

The third proportional to 30,631 and 48,863 is: 77,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631 : 48,863 = 48,863 : x
  2. Step 2: Convert to fraction form
    30,631/48,863 = 48,863/x
  3. Step 3: Cross multiply
    30,631x = 48,863 × 48,863
  4. Step 4: Simplify right side
    30,631x = 2,387,592,769
  5. Step 5: Solve for x
    x = 2,387,592,769/30,631
  6. Step 6: Final answer
    x = 77,946.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.