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Finding the Third Proportional to 23,535 and 48,982

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Solution

The third proportional to 23,535 and 48,982 is: 101,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535 : 48,982 = 48,982 : x
  2. Step 2: Convert to fraction form
    23,535/48,982 = 48,982/x
  3. Step 3: Cross multiply
    23,535x = 48,982 × 48,982
  4. Step 4: Simplify right side
    23,535x = 2,399,236,324
  5. Step 5: Solve for x
    x = 2,399,236,324/23,535
  6. Step 6: Final answer
    x = 101,943.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.