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Finding the Third Proportional to 32,825.25 and 47,802.66

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Solution

The third proportional to 32,825.25 and 47,802.66 is: 69,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825.25 : 47,802.66 = 47,802.66 : x
  2. Step 2: Convert to fraction form
    32,825.25/47,802.66 = 47,802.66/x
  3. Step 3: Cross multiply
    32,825.25x = 47,802.66 × 47,802.66
  4. Step 4: Simplify right side
    32,825.25x = 2,285,093,944.56
  5. Step 5: Solve for x
    x = 2,285,093,944.56/32,825.25
  6. Step 6: Final answer
    x = 69,613.91

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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.