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Finding the Third Proportional to 27,570 and 60,135

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Solution

The third proportional to 27,570 and 60,135 is: 131,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570 : 60,135 = 60,135 : x
  2. Step 2: Convert to fraction form
    27,570/60,135 = 60,135/x
  3. Step 3: Cross multiply
    27,570x = 60,135 × 60,135
  4. Step 4: Simplify right side
    27,570x = 3,616,218,225
  5. Step 5: Solve for x
    x = 3,616,218,225/27,570
  6. Step 6: Final answer
    x = 131,164.97

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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.