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Finding the Third Proportional to 23,299 and 32,937

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Solution

The third proportional to 23,299 and 32,937 is: 46,561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,299 : 32,937 = 32,937 : x
  2. Step 2: Convert to fraction form
    23,299/32,937 = 32,937/x
  3. Step 3: Cross multiply
    23,299x = 32,937 × 32,937
  4. Step 4: Simplify right side
    23,299x = 1,084,845,969
  5. Step 5: Solve for x
    x = 1,084,845,969/23,299
  6. Step 6: Final answer
    x = 46,561.91

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Why These Related Problems?

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