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Finding the Third Proportional to 23,018 and 47,672

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Solution

The third proportional to 23,018 and 47,672 is: 98,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,018 : 47,672 = 47,672 : x
  2. Step 2: Convert to fraction form
    23,018/47,672 = 47,672/x
  3. Step 3: Cross multiply
    23,018x = 47,672 × 47,672
  4. Step 4: Simplify right side
    23,018x = 2,272,619,584
  5. Step 5: Solve for x
    x = 2,272,619,584/23,018
  6. Step 6: Final answer
    x = 98,732.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.