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Finding the Third Proportional to 32,873.44 and 46,515.66

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Solution

The third proportional to 32,873.44 and 46,515.66 is: 65,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,873.44 : 46,515.66 = 46,515.66 : x
  2. Step 2: Convert to fraction form
    32,873.44/46,515.66 = 46,515.66/x
  3. Step 3: Cross multiply
    32,873.44x = 46,515.66 × 46,515.66
  4. Step 4: Simplify right side
    32,873.44x = 2,163,706,276.37
  5. Step 5: Solve for x
    x = 2,163,706,276.37/32,873.44
  6. Step 6: Final answer
    x = 65,819.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.