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Finding the Third Proportional to 32,796 and 71,896.50

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Solution

The third proportional to 32,796 and 71,896.50 is: 157,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,796 : 71,896.50 = 71,896.50 : x
  2. Step 2: Convert to fraction form
    32,796/71,896.50 = 71,896.50/x
  3. Step 3: Cross multiply
    32,796x = 71,896.50 × 71,896.50
  4. Step 4: Simplify right side
    32,796x = 5,169,106,712.25
  5. Step 5: Solve for x
    x = 5,169,106,712.25/32,796
  6. Step 6: Final answer
    x = 157,613.94

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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.