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Finding the Third Proportional to 31,678.69 and 44,288.63

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Solution

The third proportional to 31,678.69 and 44,288.63 is: 61,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.69 : 44,288.63 = 44,288.63 : x
  2. Step 2: Convert to fraction form
    31,678.69/44,288.63 = 44,288.63/x
  3. Step 3: Cross multiply
    31,678.69x = 44,288.63 × 44,288.63
  4. Step 4: Simplify right side
    31,678.69x = 1,961,482,304.39
  5. Step 5: Solve for x
    x = 1,961,482,304.39/31,678.69
  6. Step 6: Final answer
    x = 61,918.04

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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.