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Finding the Third Proportional to 32,831 and 48,081.88

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Solution

The third proportional to 32,831 and 48,081.88 is: 70,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831 : 48,081.88 = 48,081.88 : x
  2. Step 2: Convert to fraction form
    32,831/48,081.88 = 48,081.88/x
  3. Step 3: Cross multiply
    32,831x = 48,081.88 × 48,081.88
  4. Step 4: Simplify right side
    32,831x = 2,311,866,703.52
  5. Step 5: Solve for x
    x = 2,311,866,703.52/32,831
  6. Step 6: Final answer
    x = 70,417.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.