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Finding the Third Proportional to 27,004 and 56,159

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Solution

The third proportional to 27,004 and 56,159 is: 116,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 56,159 = 56,159 : x
  2. Step 2: Convert to fraction form
    27,004/56,159 = 56,159/x
  3. Step 3: Cross multiply
    27,004x = 56,159 × 56,159
  4. Step 4: Simplify right side
    27,004x = 3,153,833,281
  5. Step 5: Solve for x
    x = 3,153,833,281/27,004
  6. Step 6: Final answer
    x = 116,791.34

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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.