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Finding the Third Proportional to 27,154 and 39,758

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Solution

The third proportional to 27,154 and 39,758 is: 58,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154 : 39,758 = 39,758 : x
  2. Step 2: Convert to fraction form
    27,154/39,758 = 39,758/x
  3. Step 3: Cross multiply
    27,154x = 39,758 × 39,758
  4. Step 4: Simplify right side
    27,154x = 1,580,698,564
  5. Step 5: Solve for x
    x = 1,580,698,564/27,154
  6. Step 6: Final answer
    x = 58,212.37

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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.