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Finding the Third Proportional to 32,702 and 51,817

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Solution

The third proportional to 32,702 and 51,817 is: 82,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702 : 51,817 = 51,817 : x
  2. Step 2: Convert to fraction form
    32,702/51,817 = 51,817/x
  3. Step 3: Cross multiply
    32,702x = 51,817 × 51,817
  4. Step 4: Simplify right side
    32,702x = 2,685,001,489
  5. Step 5: Solve for x
    x = 2,685,001,489/32,702
  6. Step 6: Final answer
    x = 82,105.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.