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Finding the Third Proportional to 21,887 and 48,017

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Solution

The third proportional to 21,887 and 48,017 is: 105,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887 : 48,017 = 48,017 : x
  2. Step 2: Convert to fraction form
    21,887/48,017 = 48,017/x
  3. Step 3: Cross multiply
    21,887x = 48,017 × 48,017
  4. Step 4: Simplify right side
    21,887x = 2,305,632,289
  5. Step 5: Solve for x
    x = 2,305,632,289/21,887
  6. Step 6: Final answer
    x = 105,342.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.