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Finding the Third Proportional to 21,539 and 46,207

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Solution

The third proportional to 21,539 and 46,207 is: 99,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,539 : 46,207 = 46,207 : x
  2. Step 2: Convert to fraction form
    21,539/46,207 = 46,207/x
  3. Step 3: Cross multiply
    21,539x = 46,207 × 46,207
  4. Step 4: Simplify right side
    21,539x = 2,135,086,849
  5. Step 5: Solve for x
    x = 2,135,086,849/21,539
  6. Step 6: Final answer
    x = 99,126.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.