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Finding the Third Proportional to 21,199 and 46,043

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Solution

The third proportional to 21,199 and 46,043 is: 100,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199 : 46,043 = 46,043 : x
  2. Step 2: Convert to fraction form
    21,199/46,043 = 46,043/x
  3. Step 3: Cross multiply
    21,199x = 46,043 × 46,043
  4. Step 4: Simplify right side
    21,199x = 2,119,957,849
  5. Step 5: Solve for x
    x = 2,119,957,849/21,199
  6. Step 6: Final answer
    x = 100,002.73

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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.