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Finding the Third Proportional to 23,748 and 50,788

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Solution

The third proportional to 23,748 and 50,788 is: 108,616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748 : 50,788 = 50,788 : x
  2. Step 2: Convert to fraction form
    23,748/50,788 = 50,788/x
  3. Step 3: Cross multiply
    23,748x = 50,788 × 50,788
  4. Step 4: Simplify right side
    23,748x = 2,579,420,944
  5. Step 5: Solve for x
    x = 2,579,420,944/23,748
  6. Step 6: Final answer
    x = 108,616.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.