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Finding the Third Proportional to 27,777.94 and 40,623.19

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Solution

The third proportional to 27,777.94 and 40,623.19 is: 59,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.94 : 40,623.19 = 40,623.19 : x
  2. Step 2: Convert to fraction form
    27,777.94/40,623.19 = 40,623.19/x
  3. Step 3: Cross multiply
    27,777.94x = 40,623.19 × 40,623.19
  4. Step 4: Simplify right side
    27,777.94x = 1,650,243,362.66
  5. Step 5: Solve for x
    x = 1,650,243,362.66/27,777.94
  6. Step 6: Final answer
    x = 59,408.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.