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Finding the Third Proportional to 27,907 and 60,735

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Solution

The third proportional to 27,907 and 60,735 is: 132,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907 : 60,735 = 60,735 : x
  2. Step 2: Convert to fraction form
    27,907/60,735 = 60,735/x
  3. Step 3: Cross multiply
    27,907x = 60,735 × 60,735
  4. Step 4: Simplify right side
    27,907x = 3,688,740,225
  5. Step 5: Solve for x
    x = 3,688,740,225/27,907
  6. Step 6: Final answer
    x = 132,179.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.