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Finding the Third Proportional to 32,871 and 53,670

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Solution

The third proportional to 32,871 and 53,670 is: 87,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871 : 53,670 = 53,670 : x
  2. Step 2: Convert to fraction form
    32,871/53,670 = 53,670/x
  3. Step 3: Cross multiply
    32,871x = 53,670 × 53,670
  4. Step 4: Simplify right side
    32,871x = 2,880,468,900
  5. Step 5: Solve for x
    x = 2,880,468,900/32,871
  6. Step 6: Final answer
    x = 87,629.49

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.