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Finding the Third Proportional to 31,656.94 and 50,128.03

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Solution

The third proportional to 31,656.94 and 50,128.03 is: 79,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.94 : 50,128.03 = 50,128.03 : x
  2. Step 2: Convert to fraction form
    31,656.94/50,128.03 = 50,128.03/x
  3. Step 3: Cross multiply
    31,656.94x = 50,128.03 × 50,128.03
  4. Step 4: Simplify right side
    31,656.94x = 2,512,819,517.00
  5. Step 5: Solve for x
    x = 2,512,819,517.00/31,656.94
  6. Step 6: Final answer
    x = 79,376.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.