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Finding the Third Proportional to 32,042.48 and 69,015.42

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Solution

The third proportional to 32,042.48 and 69,015.42 is: 148,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042.48 : 69,015.42 = 69,015.42 : x
  2. Step 2: Convert to fraction form
    32,042.48/69,015.42 = 69,015.42/x
  3. Step 3: Cross multiply
    32,042.48x = 69,015.42 × 69,015.42
  4. Step 4: Simplify right side
    32,042.48x = 4,763,128,456.58
  5. Step 5: Solve for x
    x = 4,763,128,456.58/32,042.48
  6. Step 6: Final answer
    x = 148,650.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.