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Finding the Third Proportional to 27,201 and 41,610.75

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Solution

The third proportional to 27,201 and 41,610.75 is: 63,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201 : 41,610.75 = 41,610.75 : x
  2. Step 2: Convert to fraction form
    27,201/41,610.75 = 41,610.75/x
  3. Step 3: Cross multiply
    27,201x = 41,610.75 × 41,610.75
  4. Step 4: Simplify right side
    27,201x = 1,731,454,515.56
  5. Step 5: Solve for x
    x = 1,731,454,515.56/27,201
  6. Step 6: Final answer
    x = 63,654.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.