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Finding the Third Proportional to 32,871 and 53,404.50

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Solution

The third proportional to 32,871 and 53,404.50 is: 86,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871 : 53,404.50 = 53,404.50 : x
  2. Step 2: Convert to fraction form
    32,871/53,404.50 = 53,404.50/x
  3. Step 3: Cross multiply
    32,871x = 53,404.50 × 53,404.50
  4. Step 4: Simplify right side
    32,871x = 2,852,040,620.25
  5. Step 5: Solve for x
    x = 2,852,040,620.25/32,871
  6. Step 6: Final answer
    x = 86,764.64

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.