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Finding the Third Proportional to 32,834 and 51,994

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Solution

The third proportional to 32,834 and 51,994 is: 82,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834 : 51,994 = 51,994 : x
  2. Step 2: Convert to fraction form
    32,834/51,994 = 51,994/x
  3. Step 3: Cross multiply
    32,834x = 51,994 × 51,994
  4. Step 4: Simplify right side
    32,834x = 2,703,376,036
  5. Step 5: Solve for x
    x = 2,703,376,036/32,834
  6. Step 6: Final answer
    x = 82,334.65

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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.