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Finding the Third Proportional to 32,822.72 and 72,026.72

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Solution

The third proportional to 32,822.72 and 72,026.72 is: 158,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,822.72 : 72,026.72 = 72,026.72 : x
  2. Step 2: Convert to fraction form
    32,822.72/72,026.72 = 72,026.72/x
  3. Step 3: Cross multiply
    32,822.72x = 72,026.72 × 72,026.72
  4. Step 4: Simplify right side
    32,822.72x = 5,187,848,213.89
  5. Step 5: Solve for x
    x = 5,187,848,213.89/32,822.72
  6. Step 6: Final answer
    x = 158,056.63

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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.