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Finding the Third Proportional to 31,301.44 and 73,816.95

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Solution

The third proportional to 31,301.44 and 73,816.95 is: 174,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,301.44 : 73,816.95 = 73,816.95 : x
  2. Step 2: Convert to fraction form
    31,301.44/73,816.95 = 73,816.95/x
  3. Step 3: Cross multiply
    31,301.44x = 73,816.95 × 73,816.95
  4. Step 4: Simplify right side
    31,301.44x = 5,448,941,415.27
  5. Step 5: Solve for x
    x = 5,448,941,415.27/31,301.44
  6. Step 6: Final answer
    x = 174,079.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.