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Finding the Third Proportional to 21,181.25 and 45,849

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Solution

The third proportional to 21,181.25 and 45,849 is: 99,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.25 : 45,849 = 45,849 : x
  2. Step 2: Convert to fraction form
    21,181.25/45,849 = 45,849/x
  3. Step 3: Cross multiply
    21,181.25x = 45,849 × 45,849
  4. Step 4: Simplify right side
    21,181.25x = 2,102,130,801
  5. Step 5: Solve for x
    x = 2,102,130,801/21,181.25
  6. Step 6: Final answer
    x = 99,244.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.