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Finding the Third Proportional to 38,456 and 56,788

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Solution

The third proportional to 38,456 and 56,788 is: 83,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456 : 56,788 = 56,788 : x
  2. Step 2: Convert to fraction form
    38,456/56,788 = 56,788/x
  3. Step 3: Cross multiply
    38,456x = 56,788 × 56,788
  4. Step 4: Simplify right side
    38,456x = 3,224,876,944
  5. Step 5: Solve for x
    x = 3,224,876,944/38,456
  6. Step 6: Final answer
    x = 83,858.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.