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Finding the Third Proportional to 47,796 and 94,377

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Solution

The third proportional to 47,796 and 94,377 is: 186,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796 : 94,377 = 94,377 : x
  2. Step 2: Convert to fraction form
    47,796/94,377 = 94,377/x
  3. Step 3: Cross multiply
    47,796x = 94,377 × 94,377
  4. Step 4: Simplify right side
    47,796x = 8,907,018,129
  5. Step 5: Solve for x
    x = 8,907,018,129/47,796
  6. Step 6: Final answer
    x = 186,354.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.