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Finding the Third Proportional to 34,836 and 53,069

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Solution

The third proportional to 34,836 and 53,069 is: 80,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,836 : 53,069 = 53,069 : x
  2. Step 2: Convert to fraction form
    34,836/53,069 = 53,069/x
  3. Step 3: Cross multiply
    34,836x = 53,069 × 53,069
  4. Step 4: Simplify right side
    34,836x = 2,816,318,761
  5. Step 5: Solve for x
    x = 2,816,318,761/34,836
  6. Step 6: Final answer
    x = 80,845.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.