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Finding the Third Proportional to 31,548.25 and 64,023.50

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Solution

The third proportional to 31,548.25 and 64,023.50 is: 129,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.25 : 64,023.50 = 64,023.50 : x
  2. Step 2: Convert to fraction form
    31,548.25/64,023.50 = 64,023.50/x
  3. Step 3: Cross multiply
    31,548.25x = 64,023.50 × 64,023.50
  4. Step 4: Simplify right side
    31,548.25x = 4,099,008,552.25
  5. Step 5: Solve for x
    x = 4,099,008,552.25/31,548.25
  6. Step 6: Final answer
    x = 129,928.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.