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Finding the Third Proportional to 27,980.75 and 60,881

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Solution

The third proportional to 27,980.75 and 60,881 is: 132,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.75 : 60,881 = 60,881 : x
  2. Step 2: Convert to fraction form
    27,980.75/60,881 = 60,881/x
  3. Step 3: Cross multiply
    27,980.75x = 60,881 × 60,881
  4. Step 4: Simplify right side
    27,980.75x = 3,706,496,161
  5. Step 5: Solve for x
    x = 3,706,496,161/27,980.75
  6. Step 6: Final answer
    x = 132,465.93

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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.