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Finding the Third Proportional to 21,115.69 and 45,906.75

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Solution

The third proportional to 21,115.69 and 45,906.75 is: 99,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115.69 : 45,906.75 = 45,906.75 : x
  2. Step 2: Convert to fraction form
    21,115.69/45,906.75 = 45,906.75/x
  3. Step 3: Cross multiply
    21,115.69x = 45,906.75 × 45,906.75
  4. Step 4: Simplify right side
    21,115.69x = 2,107,429,695.56
  5. Step 5: Solve for x
    x = 2,107,429,695.56/21,115.69
  6. Step 6: Final answer
    x = 99,803.98

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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.