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Finding the Third Proportional to 21,290 and 49,727

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Solution

The third proportional to 21,290 and 49,727 is: 116,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,290 : 49,727 = 49,727 : x
  2. Step 2: Convert to fraction form
    21,290/49,727 = 49,727/x
  3. Step 3: Cross multiply
    21,290x = 49,727 × 49,727
  4. Step 4: Simplify right side
    21,290x = 2,472,774,529
  5. Step 5: Solve for x
    x = 2,472,774,529/21,290
  6. Step 6: Final answer
    x = 116,147.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.