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Finding the Third Proportional to 23,192 and 40,984

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Solution

The third proportional to 23,192 and 40,984 is: 72,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,192 : 40,984 = 40,984 : x
  2. Step 2: Convert to fraction form
    23,192/40,984 = 40,984/x
  3. Step 3: Cross multiply
    23,192x = 40,984 × 40,984
  4. Step 4: Simplify right side
    23,192x = 1,679,688,256
  5. Step 5: Solve for x
    x = 1,679,688,256/23,192
  6. Step 6: Final answer
    x = 72,425.33

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.