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Finding the Third Proportional to 38,553 and 56,187

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Solution

The third proportional to 38,553 and 56,187 is: 81,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,553 : 56,187 = 56,187 : x
  2. Step 2: Convert to fraction form
    38,553/56,187 = 56,187/x
  3. Step 3: Cross multiply
    38,553x = 56,187 × 56,187
  4. Step 4: Simplify right side
    38,553x = 3,156,978,969
  5. Step 5: Solve for x
    x = 3,156,978,969/38,553
  6. Step 6: Final answer
    x = 81,886.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.