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Finding the Third Proportional to 32,846.69 and 72,051.94

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Solution

The third proportional to 32,846.69 and 72,051.94 is: 158,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846.69 : 72,051.94 = 72,051.94 : x
  2. Step 2: Convert to fraction form
    32,846.69/72,051.94 = 72,051.94/x
  3. Step 3: Cross multiply
    32,846.69x = 72,051.94 × 72,051.94
  4. Step 4: Simplify right side
    32,846.69x = 5,191,481,697.50
  5. Step 5: Solve for x
    x = 5,191,481,697.50/32,846.69
  6. Step 6: Final answer
    x = 158,051.91

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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.