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Finding the Third Proportional to 21,619 and 46,928

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Solution

The third proportional to 21,619 and 46,928 is: 101,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,619 : 46,928 = 46,928 : x
  2. Step 2: Convert to fraction form
    21,619/46,928 = 46,928/x
  3. Step 3: Cross multiply
    21,619x = 46,928 × 46,928
  4. Step 4: Simplify right side
    21,619x = 2,202,237,184
  5. Step 5: Solve for x
    x = 2,202,237,184/21,619
  6. Step 6: Final answer
    x = 101,865.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.