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Finding the Third Proportional to 27,777 and 43,021.50

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Solution

The third proportional to 27,777 and 43,021.50 is: 66,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777 : 43,021.50 = 43,021.50 : x
  2. Step 2: Convert to fraction form
    27,777/43,021.50 = 43,021.50/x
  3. Step 3: Cross multiply
    27,777x = 43,021.50 × 43,021.50
  4. Step 4: Simplify right side
    27,777x = 1,850,849,462.25
  5. Step 5: Solve for x
    x = 1,850,849,462.25/27,777
  6. Step 6: Final answer
    x = 66,632.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.