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Finding the Third Proportional to 32,886 and 71,027.25

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Solution

The third proportional to 32,886 and 71,027.25 is: 153,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886 : 71,027.25 = 71,027.25 : x
  2. Step 2: Convert to fraction form
    32,886/71,027.25 = 71,027.25/x
  3. Step 3: Cross multiply
    32,886x = 71,027.25 × 71,027.25
  4. Step 4: Simplify right side
    32,886x = 5,044,870,242.56
  5. Step 5: Solve for x
    x = 5,044,870,242.56/32,886
  6. Step 6: Final answer
    x = 153,404.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.