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Finding the Third Proportional to 23,355 and 50,403

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Solution

The third proportional to 23,355 and 50,403 is: 108,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,355 : 50,403 = 50,403 : x
  2. Step 2: Convert to fraction form
    23,355/50,403 = 50,403/x
  3. Step 3: Cross multiply
    23,355x = 50,403 × 50,403
  4. Step 4: Simplify right side
    23,355x = 2,540,462,409
  5. Step 5: Solve for x
    x = 2,540,462,409/23,355
  6. Step 6: Final answer
    x = 108,775.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.