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Finding the Third Proportional to 23,295 and 32,930

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Solution

The third proportional to 23,295 and 32,930 is: 46,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,295 : 32,930 = 32,930 : x
  2. Step 2: Convert to fraction form
    23,295/32,930 = 32,930/x
  3. Step 3: Cross multiply
    23,295x = 32,930 × 32,930
  4. Step 4: Simplify right side
    23,295x = 1,084,384,900
  5. Step 5: Solve for x
    x = 1,084,384,900/23,295
  6. Step 6: Final answer
    x = 46,550.11

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.