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Finding the Third Proportional to 31,393.69 and 73,927.69

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Solution

The third proportional to 31,393.69 and 73,927.69 is: 174,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.69 : 73,927.69 = 73,927.69 : x
  2. Step 2: Convert to fraction form
    31,393.69/73,927.69 = 73,927.69/x
  3. Step 3: Cross multiply
    31,393.69x = 73,927.69 × 73,927.69
  4. Step 4: Simplify right side
    31,393.69x = 5,465,302,979.10
  5. Step 5: Solve for x
    x = 5,465,302,979.10/31,393.69
  6. Step 6: Final answer
    x = 174,089.23

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.