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Finding the Third Proportional to 32,986 and 51,504

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Solution

The third proportional to 32,986 and 51,504 is: 80,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986 : 51,504 = 51,504 : x
  2. Step 2: Convert to fraction form
    32,986/51,504 = 51,504/x
  3. Step 3: Cross multiply
    32,986x = 51,504 × 51,504
  4. Step 4: Simplify right side
    32,986x = 2,652,662,016
  5. Step 5: Solve for x
    x = 2,652,662,016/32,986
  6. Step 6: Final answer
    x = 80,417.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.