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Finding the Third Proportional to 27,762.75 and 58,623.75

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Solution

The third proportional to 27,762.75 and 58,623.75 is: 123,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.75 : 58,623.75 = 58,623.75 : x
  2. Step 2: Convert to fraction form
    27,762.75/58,623.75 = 58,623.75/x
  3. Step 3: Cross multiply
    27,762.75x = 58,623.75 × 58,623.75
  4. Step 4: Simplify right side
    27,762.75x = 3,436,744,064.06
  5. Step 5: Solve for x
    x = 3,436,744,064.06/27,762.75
  6. Step 6: Final answer
    x = 123,789.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.