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Finding the Third Proportional to 22,912 and 32,687

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Solution

The third proportional to 22,912 and 32,687 is: 46,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912 : 32,687 = 32,687 : x
  2. Step 2: Convert to fraction form
    22,912/32,687 = 32,687/x
  3. Step 3: Cross multiply
    22,912x = 32,687 × 32,687
  4. Step 4: Simplify right side
    22,912x = 1,068,439,969
  5. Step 5: Solve for x
    x = 1,068,439,969/22,912
  6. Step 6: Final answer
    x = 46,632.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.