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Finding the Third Proportional to 31,451.63 and 48,272.63

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Solution

The third proportional to 31,451.63 and 48,272.63 is: 74,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.63 : 48,272.63 = 48,272.63 : x
  2. Step 2: Convert to fraction form
    31,451.63/48,272.63 = 48,272.63/x
  3. Step 3: Cross multiply
    31,451.63x = 48,272.63 × 48,272.63
  4. Step 4: Simplify right side
    31,451.63x = 2,330,246,324.39
  5. Step 5: Solve for x
    x = 2,330,246,324.39/31,451.63
  6. Step 6: Final answer
    x = 74,089.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.