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Finding the Third Proportional to 23,018 and 48,952

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Solution

The third proportional to 23,018 and 48,952 is: 104,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,018 : 48,952 = 48,952 : x
  2. Step 2: Convert to fraction form
    23,018/48,952 = 48,952/x
  3. Step 3: Cross multiply
    23,018x = 48,952 × 48,952
  4. Step 4: Simplify right side
    23,018x = 2,396,298,304
  5. Step 5: Solve for x
    x = 2,396,298,304/23,018
  6. Step 6: Final answer
    x = 104,105.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.