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Finding the Third Proportional to 32,984 and 51,086

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Solution

The third proportional to 32,984 and 51,086 is: 79,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984 : 51,086 = 51,086 : x
  2. Step 2: Convert to fraction form
    32,984/51,086 = 51,086/x
  3. Step 3: Cross multiply
    32,984x = 51,086 × 51,086
  4. Step 4: Simplify right side
    32,984x = 2,609,779,396
  5. Step 5: Solve for x
    x = 2,609,779,396/32,984
  6. Step 6: Final answer
    x = 79,122.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.