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Finding the Third Proportional to 32,825.25 and 72,032.63

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Solution

The third proportional to 32,825.25 and 72,032.63 is: 158,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825.25 : 72,032.63 = 72,032.63 : x
  2. Step 2: Convert to fraction form
    32,825.25/72,032.63 = 72,032.63/x
  3. Step 3: Cross multiply
    32,825.25x = 72,032.63 × 72,032.63
  4. Step 4: Simplify right side
    32,825.25x = 5,188,699,064.39
  5. Step 5: Solve for x
    x = 5,188,699,064.39/32,825.25
  6. Step 6: Final answer
    x = 158,070.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.