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Finding the Third Proportional to 21,091.78 and 45,874.03

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Solution

The third proportional to 21,091.78 and 45,874.03 is: 99,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091.78 : 45,874.03 = 45,874.03 : x
  2. Step 2: Convert to fraction form
    21,091.78/45,874.03 = 45,874.03/x
  3. Step 3: Cross multiply
    21,091.78x = 45,874.03 × 45,874.03
  4. Step 4: Simplify right side
    21,091.78x = 2,104,426,743.13
  5. Step 5: Solve for x
    x = 2,104,426,743.13/21,091.78
  6. Step 6: Final answer
    x = 99,774.73

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