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Finding the Third Proportional to 34,222.50 and 45,777.38

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Solution

The third proportional to 34,222.50 and 45,777.38 is: 61,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,222.50 : 45,777.38 = 45,777.38 : x
  2. Step 2: Convert to fraction form
    34,222.50/45,777.38 = 45,777.38/x
  3. Step 3: Cross multiply
    34,222.50x = 45,777.38 × 45,777.38
  4. Step 4: Simplify right side
    34,222.50x = 2,095,568,061.89
  5. Step 5: Solve for x
    x = 2,095,568,061.89/34,222.50
  6. Step 6: Final answer
    x = 61,233.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.