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Finding the Third Proportional to 27,003 and 56,157

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Solution

The third proportional to 27,003 and 56,157 is: 116,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,003 : 56,157 = 56,157 : x
  2. Step 2: Convert to fraction form
    27,003/56,157 = 56,157/x
  3. Step 3: Cross multiply
    27,003x = 56,157 × 56,157
  4. Step 4: Simplify right side
    27,003x = 3,153,608,649
  5. Step 5: Solve for x
    x = 3,153,608,649/27,003
  6. Step 6: Final answer
    x = 116,787.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.