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Finding the Third Proportional to 27,151 and 43,095

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Solution

The third proportional to 27,151 and 43,095 is: 68,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151 : 43,095 = 43,095 : x
  2. Step 2: Convert to fraction form
    27,151/43,095 = 43,095/x
  3. Step 3: Cross multiply
    27,151x = 43,095 × 43,095
  4. Step 4: Simplify right side
    27,151x = 1,857,179,025
  5. Step 5: Solve for x
    x = 1,857,179,025/27,151
  6. Step 6: Final answer
    x = 68,401.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.