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Finding the Third Proportional to 21,228 and 46,141

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Solution

The third proportional to 21,228 and 46,141 is: 100,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228 : 46,141 = 46,141 : x
  2. Step 2: Convert to fraction form
    21,228/46,141 = 46,141/x
  3. Step 3: Cross multiply
    21,228x = 46,141 × 46,141
  4. Step 4: Simplify right side
    21,228x = 2,128,991,881
  5. Step 5: Solve for x
    x = 2,128,991,881/21,228
  6. Step 6: Final answer
    x = 100,291.68

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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.