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Finding the Third Proportional to 31,609.41 and 44,463.94

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Solution

The third proportional to 31,609.41 and 44,463.94 is: 62,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.41 : 44,463.94 = 44,463.94 : x
  2. Step 2: Convert to fraction form
    31,609.41/44,463.94 = 44,463.94/x
  3. Step 3: Cross multiply
    31,609.41x = 44,463.94 × 44,463.94
  4. Step 4: Simplify right side
    31,609.41x = 1,977,041,738.00
  5. Step 5: Solve for x
    x = 1,977,041,738.00/31,609.41
  6. Step 6: Final answer
    x = 62,545.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.