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Finding the Third Proportional to 32,582.25 and 71,393.91

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Solution

The third proportional to 32,582.25 and 71,393.91 is: 156,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,582.25 : 71,393.91 = 71,393.91 : x
  2. Step 2: Convert to fraction form
    32,582.25/71,393.91 = 71,393.91/x
  3. Step 3: Cross multiply
    32,582.25x = 71,393.91 × 71,393.91
  4. Step 4: Simplify right side
    32,582.25x = 5,097,089,849.63
  5. Step 5: Solve for x
    x = 5,097,089,849.63/32,582.25
  6. Step 6: Final answer
    x = 156,437.63

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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.