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Finding the Third Proportional to 32,844 and 69,786

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Solution

The third proportional to 32,844 and 69,786 is: 148,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844 : 69,786 = 69,786 : x
  2. Step 2: Convert to fraction form
    32,844/69,786 = 69,786/x
  3. Step 3: Cross multiply
    32,844x = 69,786 × 69,786
  4. Step 4: Simplify right side
    32,844x = 4,870,085,796
  5. Step 5: Solve for x
    x = 4,870,085,796/32,844
  6. Step 6: Final answer
    x = 148,279.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.