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Finding the Third Proportional to 38,904 and 56,655

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Solution

The third proportional to 38,904 and 56,655 is: 82,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,904 : 56,655 = 56,655 : x
  2. Step 2: Convert to fraction form
    38,904/56,655 = 56,655/x
  3. Step 3: Cross multiply
    38,904x = 56,655 × 56,655
  4. Step 4: Simplify right side
    38,904x = 3,209,789,025
  5. Step 5: Solve for x
    x = 3,209,789,025/38,904
  6. Step 6: Final answer
    x = 82,505.37

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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.