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Finding the Third Proportional to 31,686.19 and 44,301.94

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Solution

The third proportional to 31,686.19 and 44,301.94 is: 61,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.19 : 44,301.94 = 44,301.94 : x
  2. Step 2: Convert to fraction form
    31,686.19/44,301.94 = 44,301.94/x
  3. Step 3: Cross multiply
    31,686.19x = 44,301.94 × 44,301.94
  4. Step 4: Simplify right side
    31,686.19x = 1,962,661,666.25
  5. Step 5: Solve for x
    x = 1,962,661,666.25/31,686.19
  6. Step 6: Final answer
    x = 61,940.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.