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Finding the Third Proportional to 23,724 and 48,072

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Solution

The third proportional to 23,724 and 48,072 is: 97,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724 : 48,072 = 48,072 : x
  2. Step 2: Convert to fraction form
    23,724/48,072 = 48,072/x
  3. Step 3: Cross multiply
    23,724x = 48,072 × 48,072
  4. Step 4: Simplify right side
    23,724x = 2,310,917,184
  5. Step 5: Solve for x
    x = 2,310,917,184/23,724
  6. Step 6: Final answer
    x = 97,408.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.